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