MAYBE Problem: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Proof: DP Processor: DPs: active#(U11(tt(),N,XS)) -> U12#(tt(),N,XS) active#(U11(tt(),N,XS)) -> mark#(U12(tt(),N,XS)) active#(U12(tt(),N,XS)) -> splitAt#(N,XS) active#(U12(tt(),N,XS)) -> snd#(splitAt(N,XS)) active#(U12(tt(),N,XS)) -> mark#(snd(splitAt(N,XS))) active#(U21(tt(),X)) -> U22#(tt(),X) active#(U21(tt(),X)) -> mark#(U22(tt(),X)) active#(U22(tt(),X)) -> mark#(X) active#(U31(tt(),N)) -> U32#(tt(),N) active#(U31(tt(),N)) -> mark#(U32(tt(),N)) active#(U32(tt(),N)) -> mark#(N) active#(U41(tt(),N,XS)) -> U42#(tt(),N,XS) active#(U41(tt(),N,XS)) -> mark#(U42(tt(),N,XS)) active#(U42(tt(),N,XS)) -> afterNth#(N,XS) active#(U42(tt(),N,XS)) -> head#(afterNth(N,XS)) active#(U42(tt(),N,XS)) -> mark#(head(afterNth(N,XS))) active#(U51(tt(),Y)) -> U52#(tt(),Y) active#(U51(tt(),Y)) -> mark#(U52(tt(),Y)) active#(U52(tt(),Y)) -> mark#(Y) active#(U61(tt(),N,X,XS)) -> U62#(tt(),N,X,XS) active#(U61(tt(),N,X,XS)) -> mark#(U62(tt(),N,X,XS)) active#(U62(tt(),N,X,XS)) -> U63#(tt(),N,X,XS) active#(U62(tt(),N,X,XS)) -> mark#(U63(tt(),N,X,XS)) active#(U63(tt(),N,X,XS)) -> splitAt#(N,XS) active#(U63(tt(),N,X,XS)) -> U64#(splitAt(N,XS),X) active#(U63(tt(),N,X,XS)) -> mark#(U64(splitAt(N,XS),X)) active#(U64(pair(YS,ZS),X)) -> cons#(X,YS) active#(U64(pair(YS,ZS),X)) -> pair#(cons(X,YS),ZS) active#(U64(pair(YS,ZS),X)) -> mark#(pair(cons(X,YS),ZS)) active#(U71(tt(),XS)) -> U72#(tt(),XS) active#(U71(tt(),XS)) -> mark#(U72(tt(),XS)) active#(U72(tt(),XS)) -> mark#(XS) active#(U81(tt(),N,XS)) -> U82#(tt(),N,XS) active#(U81(tt(),N,XS)) -> mark#(U82(tt(),N,XS)) active#(U82(tt(),N,XS)) -> splitAt#(N,XS) active#(U82(tt(),N,XS)) -> fst#(splitAt(N,XS)) active#(U82(tt(),N,XS)) -> mark#(fst(splitAt(N,XS))) active#(afterNth(N,XS)) -> U11#(tt(),N,XS) active#(afterNth(N,XS)) -> mark#(U11(tt(),N,XS)) active#(fst(pair(X,Y))) -> U21#(tt(),X) active#(fst(pair(X,Y))) -> mark#(U21(tt(),X)) active#(head(cons(N,XS))) -> U31#(tt(),N) active#(head(cons(N,XS))) -> mark#(U31(tt(),N)) active#(natsFrom(N)) -> s#(N) active#(natsFrom(N)) -> natsFrom#(s(N)) active#(natsFrom(N)) -> cons#(N,natsFrom(s(N))) active#(natsFrom(N)) -> mark#(cons(N,natsFrom(s(N)))) active#(sel(N,XS)) -> U41#(tt(),N,XS) active#(sel(N,XS)) -> mark#(U41(tt(),N,XS)) active#(snd(pair(X,Y))) -> U51#(tt(),Y) active#(snd(pair(X,Y))) -> mark#(U51(tt(),Y)) active#(splitAt(0(),XS)) -> pair#(nil(),XS) active#(splitAt(0(),XS)) -> mark#(pair(nil(),XS)) active#(splitAt(s(N),cons(X,XS))) -> U61#(tt(),N,X,XS) active#(splitAt(s(N),cons(X,XS))) -> mark#(U61(tt(),N,X,XS)) active#(tail(cons(N,XS))) -> U71#(tt(),XS) active#(tail(cons(N,XS))) -> mark#(U71(tt(),XS)) active#(take(N,XS)) -> U81#(tt(),N,XS) active#(take(N,XS)) -> mark#(U81(tt(),N,XS)) 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#(tt()) -> active#(tt()) 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#(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#(U21(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> U21#(mark(X1),X2) mark#(U21(X1,X2)) -> active#(U21(mark(X1),X2)) mark#(U22(X1,X2)) -> mark#(X1) mark#(U22(X1,X2)) -> U22#(mark(X1),X2) mark#(U22(X1,X2)) -> active#(U22(mark(X1),X2)) mark#(U31(X1,X2)) -> mark#(X1) mark#(U31(X1,X2)) -> U31#(mark(X1),X2) mark#(U31(X1,X2)) -> active#(U31(mark(X1),X2)) mark#(U32(X1,X2)) -> mark#(X1) mark#(U32(X1,X2)) -> U32#(mark(X1),X2) mark#(U32(X1,X2)) -> active#(U32(mark(X1),X2)) 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#(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#(U51(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> U51#(mark(X1),X2) mark#(U51(X1,X2)) -> active#(U51(mark(X1),X2)) mark#(U52(X1,X2)) -> mark#(X1) mark#(U52(X1,X2)) -> U52#(mark(X1),X2) mark#(U52(X1,X2)) -> active#(U52(mark(X1),X2)) mark#(U61(X1,X2,X3,X4)) -> mark#(X1) mark#(U61(X1,X2,X3,X4)) -> U61#(mark(X1),X2,X3,X4) mark#(U61(X1,X2,X3,X4)) -> active#(U61(mark(X1),X2,X3,X4)) mark#(U62(X1,X2,X3,X4)) -> mark#(X1) mark#(U62(X1,X2,X3,X4)) -> U62#(mark(X1),X2,X3,X4) mark#(U62(X1,X2,X3,X4)) -> active#(U62(mark(X1),X2,X3,X4)) mark#(U63(X1,X2,X3,X4)) -> mark#(X1) mark#(U63(X1,X2,X3,X4)) -> U63#(mark(X1),X2,X3,X4) mark#(U63(X1,X2,X3,X4)) -> active#(U63(mark(X1),X2,X3,X4)) mark#(U64(X1,X2)) -> mark#(X1) mark#(U64(X1,X2)) -> U64#(mark(X1),X2) mark#(U64(X1,X2)) -> active#(U64(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#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) 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#(U81(X1,X2,X3)) -> mark#(X1) mark#(U81(X1,X2,X3)) -> U81#(mark(X1),X2,X3) mark#(U81(X1,X2,X3)) -> active#(U81(mark(X1),X2,X3)) mark#(U82(X1,X2,X3)) -> mark#(X1) mark#(U82(X1,X2,X3)) -> U82#(mark(X1),X2,X3) mark#(U82(X1,X2,X3)) -> active#(U82(mark(X1),X2,X3)) mark#(fst(X)) -> mark#(X) mark#(fst(X)) -> fst#(mark(X)) mark#(fst(X)) -> active#(fst(mark(X))) 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#(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))) mark#(0()) -> active#(0()) mark#(nil()) -> active#(nil()) 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))) 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) 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) U21#(mark(X1),X2) -> U21#(X1,X2) U21#(X1,mark(X2)) -> U21#(X1,X2) U21#(active(X1),X2) -> U21#(X1,X2) U21#(X1,active(X2)) -> U21#(X1,X2) U22#(mark(X1),X2) -> U22#(X1,X2) U22#(X1,mark(X2)) -> U22#(X1,X2) U22#(active(X1),X2) -> U22#(X1,X2) U22#(X1,active(X2)) -> U22#(X1,X2) U31#(mark(X1),X2) -> U31#(X1,X2) U31#(X1,mark(X2)) -> U31#(X1,X2) U31#(active(X1),X2) -> U31#(X1,X2) U31#(X1,active(X2)) -> U31#(X1,X2) U32#(mark(X1),X2) -> U32#(X1,X2) U32#(X1,mark(X2)) -> U32#(X1,X2) U32#(active(X1),X2) -> U32#(X1,X2) U32#(X1,active(X2)) -> U32#(X1,X2) 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) 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) U51#(mark(X1),X2) -> U51#(X1,X2) U51#(X1,mark(X2)) -> U51#(X1,X2) U51#(active(X1),X2) -> U51#(X1,X2) U51#(X1,active(X2)) -> U51#(X1,X2) U52#(mark(X1),X2) -> U52#(X1,X2) U52#(X1,mark(X2)) -> U52#(X1,X2) U52#(active(X1),X2) -> U52#(X1,X2) U52#(X1,active(X2)) -> U52#(X1,X2) U61#(mark(X1),X2,X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,mark(X2),X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,mark(X3),X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,X3,mark(X4)) -> U61#(X1,X2,X3,X4) U61#(active(X1),X2,X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,active(X2),X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,active(X3),X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,X3,active(X4)) -> U61#(X1,X2,X3,X4) U62#(mark(X1),X2,X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,mark(X2),X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,mark(X3),X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,X3,mark(X4)) -> U62#(X1,X2,X3,X4) U62#(active(X1),X2,X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,active(X2),X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,active(X3),X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,X3,active(X4)) -> U62#(X1,X2,X3,X4) U63#(mark(X1),X2,X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,mark(X2),X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,mark(X3),X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,X3,mark(X4)) -> U63#(X1,X2,X3,X4) U63#(active(X1),X2,X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,active(X2),X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,active(X3),X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,X3,active(X4)) -> U63#(X1,X2,X3,X4) U64#(mark(X1),X2) -> U64#(X1,X2) U64#(X1,mark(X2)) -> U64#(X1,X2) U64#(active(X1),X2) -> U64#(X1,X2) U64#(X1,active(X2)) -> U64#(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) 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) 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) U81#(mark(X1),X2,X3) -> U81#(X1,X2,X3) U81#(X1,mark(X2),X3) -> U81#(X1,X2,X3) U81#(X1,X2,mark(X3)) -> U81#(X1,X2,X3) U81#(active(X1),X2,X3) -> U81#(X1,X2,X3) U81#(X1,active(X2),X3) -> U81#(X1,X2,X3) U81#(X1,X2,active(X3)) -> U81#(X1,X2,X3) U82#(mark(X1),X2,X3) -> U82#(X1,X2,X3) U82#(X1,mark(X2),X3) -> U82#(X1,X2,X3) U82#(X1,X2,mark(X3)) -> U82#(X1,X2,X3) U82#(active(X1),X2,X3) -> U82#(X1,X2,X3) U82#(X1,active(X2),X3) -> U82#(X1,X2,X3) U82#(X1,X2,active(X3)) -> U82#(X1,X2,X3) fst#(mark(X)) -> fst#(X) fst#(active(X)) -> fst#(X) natsFrom#(mark(X)) -> natsFrom#(X) natsFrom#(active(X)) -> natsFrom#(X) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) 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) 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) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) EDG Processor: DPs: active#(U11(tt(),N,XS)) -> U12#(tt(),N,XS) active#(U11(tt(),N,XS)) -> mark#(U12(tt(),N,XS)) active#(U12(tt(),N,XS)) -> splitAt#(N,XS) active#(U12(tt(),N,XS)) -> snd#(splitAt(N,XS)) active#(U12(tt(),N,XS)) -> mark#(snd(splitAt(N,XS))) active#(U21(tt(),X)) -> U22#(tt(),X) active#(U21(tt(),X)) -> mark#(U22(tt(),X)) active#(U22(tt(),X)) -> mark#(X) active#(U31(tt(),N)) -> U32#(tt(),N) active#(U31(tt(),N)) -> mark#(U32(tt(),N)) active#(U32(tt(),N)) -> mark#(N) active#(U41(tt(),N,XS)) -> U42#(tt(),N,XS) active#(U41(tt(),N,XS)) -> mark#(U42(tt(),N,XS)) active#(U42(tt(),N,XS)) -> afterNth#(N,XS) active#(U42(tt(),N,XS)) -> head#(afterNth(N,XS)) active#(U42(tt(),N,XS)) -> mark#(head(afterNth(N,XS))) active#(U51(tt(),Y)) -> U52#(tt(),Y) active#(U51(tt(),Y)) -> mark#(U52(tt(),Y)) active#(U52(tt(),Y)) -> mark#(Y) active#(U61(tt(),N,X,XS)) -> U62#(tt(),N,X,XS) active#(U61(tt(),N,X,XS)) -> mark#(U62(tt(),N,X,XS)) active#(U62(tt(),N,X,XS)) -> U63#(tt(),N,X,XS) active#(U62(tt(),N,X,XS)) -> mark#(U63(tt(),N,X,XS)) active#(U63(tt(),N,X,XS)) -> splitAt#(N,XS) active#(U63(tt(),N,X,XS)) -> U64#(splitAt(N,XS),X) active#(U63(tt(),N,X,XS)) -> mark#(U64(splitAt(N,XS),X)) active#(U64(pair(YS,ZS),X)) -> cons#(X,YS) active#(U64(pair(YS,ZS),X)) -> pair#(cons(X,YS),ZS) active#(U64(pair(YS,ZS),X)) -> mark#(pair(cons(X,YS),ZS)) active#(U71(tt(),XS)) -> U72#(tt(),XS) active#(U71(tt(),XS)) -> mark#(U72(tt(),XS)) active#(U72(tt(),XS)) -> mark#(XS) active#(U81(tt(),N,XS)) -> U82#(tt(),N,XS) active#(U81(tt(),N,XS)) -> mark#(U82(tt(),N,XS)) active#(U82(tt(),N,XS)) -> splitAt#(N,XS) active#(U82(tt(),N,XS)) -> fst#(splitAt(N,XS)) active#(U82(tt(),N,XS)) -> mark#(fst(splitAt(N,XS))) active#(afterNth(N,XS)) -> U11#(tt(),N,XS) active#(afterNth(N,XS)) -> mark#(U11(tt(),N,XS)) active#(fst(pair(X,Y))) -> U21#(tt(),X) active#(fst(pair(X,Y))) -> mark#(U21(tt(),X)) active#(head(cons(N,XS))) -> U31#(tt(),N) active#(head(cons(N,XS))) -> mark#(U31(tt(),N)) active#(natsFrom(N)) -> s#(N) active#(natsFrom(N)) -> natsFrom#(s(N)) active#(natsFrom(N)) -> cons#(N,natsFrom(s(N))) active#(natsFrom(N)) -> mark#(cons(N,natsFrom(s(N)))) active#(sel(N,XS)) -> U41#(tt(),N,XS) active#(sel(N,XS)) -> mark#(U41(tt(),N,XS)) active#(snd(pair(X,Y))) -> U51#(tt(),Y) active#(snd(pair(X,Y))) -> mark#(U51(tt(),Y)) active#(splitAt(0(),XS)) -> pair#(nil(),XS) active#(splitAt(0(),XS)) -> mark#(pair(nil(),XS)) active#(splitAt(s(N),cons(X,XS))) -> U61#(tt(),N,X,XS) active#(splitAt(s(N),cons(X,XS))) -> mark#(U61(tt(),N,X,XS)) active#(tail(cons(N,XS))) -> U71#(tt(),XS) active#(tail(cons(N,XS))) -> mark#(U71(tt(),XS)) active#(take(N,XS)) -> U81#(tt(),N,XS) active#(take(N,XS)) -> mark#(U81(tt(),N,XS)) 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#(tt()) -> active#(tt()) 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#(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#(U21(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> U21#(mark(X1),X2) mark#(U21(X1,X2)) -> active#(U21(mark(X1),X2)) mark#(U22(X1,X2)) -> mark#(X1) mark#(U22(X1,X2)) -> U22#(mark(X1),X2) mark#(U22(X1,X2)) -> active#(U22(mark(X1),X2)) mark#(U31(X1,X2)) -> mark#(X1) mark#(U31(X1,X2)) -> U31#(mark(X1),X2) mark#(U31(X1,X2)) -> active#(U31(mark(X1),X2)) mark#(U32(X1,X2)) -> mark#(X1) mark#(U32(X1,X2)) -> U32#(mark(X1),X2) mark#(U32(X1,X2)) -> active#(U32(mark(X1),X2)) 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#(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#(U51(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> U51#(mark(X1),X2) mark#(U51(X1,X2)) -> active#(U51(mark(X1),X2)) mark#(U52(X1,X2)) -> mark#(X1) mark#(U52(X1,X2)) -> U52#(mark(X1),X2) mark#(U52(X1,X2)) -> active#(U52(mark(X1),X2)) mark#(U61(X1,X2,X3,X4)) -> mark#(X1) mark#(U61(X1,X2,X3,X4)) -> U61#(mark(X1),X2,X3,X4) mark#(U61(X1,X2,X3,X4)) -> active#(U61(mark(X1),X2,X3,X4)) mark#(U62(X1,X2,X3,X4)) -> mark#(X1) mark#(U62(X1,X2,X3,X4)) -> U62#(mark(X1),X2,X3,X4) mark#(U62(X1,X2,X3,X4)) -> active#(U62(mark(X1),X2,X3,X4)) mark#(U63(X1,X2,X3,X4)) -> mark#(X1) mark#(U63(X1,X2,X3,X4)) -> U63#(mark(X1),X2,X3,X4) mark#(U63(X1,X2,X3,X4)) -> active#(U63(mark(X1),X2,X3,X4)) mark#(U64(X1,X2)) -> mark#(X1) mark#(U64(X1,X2)) -> U64#(mark(X1),X2) mark#(U64(X1,X2)) -> active#(U64(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#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) 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#(U81(X1,X2,X3)) -> mark#(X1) mark#(U81(X1,X2,X3)) -> U81#(mark(X1),X2,X3) mark#(U81(X1,X2,X3)) -> active#(U81(mark(X1),X2,X3)) mark#(U82(X1,X2,X3)) -> mark#(X1) mark#(U82(X1,X2,X3)) -> U82#(mark(X1),X2,X3) mark#(U82(X1,X2,X3)) -> active#(U82(mark(X1),X2,X3)) mark#(fst(X)) -> mark#(X) mark#(fst(X)) -> fst#(mark(X)) mark#(fst(X)) -> active#(fst(mark(X))) 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#(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))) mark#(0()) -> active#(0()) mark#(nil()) -> active#(nil()) 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))) 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) 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) U21#(mark(X1),X2) -> U21#(X1,X2) U21#(X1,mark(X2)) -> U21#(X1,X2) U21#(active(X1),X2) -> U21#(X1,X2) U21#(X1,active(X2)) -> U21#(X1,X2) U22#(mark(X1),X2) -> U22#(X1,X2) U22#(X1,mark(X2)) -> U22#(X1,X2) U22#(active(X1),X2) -> U22#(X1,X2) U22#(X1,active(X2)) -> U22#(X1,X2) U31#(mark(X1),X2) -> U31#(X1,X2) U31#(X1,mark(X2)) -> U31#(X1,X2) U31#(active(X1),X2) -> U31#(X1,X2) U31#(X1,active(X2)) -> U31#(X1,X2) U32#(mark(X1),X2) -> U32#(X1,X2) U32#(X1,mark(X2)) -> U32#(X1,X2) U32#(active(X1),X2) -> U32#(X1,X2) U32#(X1,active(X2)) -> U32#(X1,X2) 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) 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) U51#(mark(X1),X2) -> U51#(X1,X2) U51#(X1,mark(X2)) -> U51#(X1,X2) U51#(active(X1),X2) -> U51#(X1,X2) U51#(X1,active(X2)) -> U51#(X1,X2) U52#(mark(X1),X2) -> U52#(X1,X2) U52#(X1,mark(X2)) -> U52#(X1,X2) U52#(active(X1),X2) -> U52#(X1,X2) U52#(X1,active(X2)) -> U52#(X1,X2) U61#(mark(X1),X2,X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,mark(X2),X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,mark(X3),X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,X3,mark(X4)) -> U61#(X1,X2,X3,X4) U61#(active(X1),X2,X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,active(X2),X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,active(X3),X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,X3,active(X4)) -> U61#(X1,X2,X3,X4) U62#(mark(X1),X2,X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,mark(X2),X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,mark(X3),X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,X3,mark(X4)) -> U62#(X1,X2,X3,X4) U62#(active(X1),X2,X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,active(X2),X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,active(X3),X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,X3,active(X4)) -> U62#(X1,X2,X3,X4) U63#(mark(X1),X2,X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,mark(X2),X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,mark(X3),X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,X3,mark(X4)) -> U63#(X1,X2,X3,X4) U63#(active(X1),X2,X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,active(X2),X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,active(X3),X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,X3,active(X4)) -> U63#(X1,X2,X3,X4) U64#(mark(X1),X2) -> U64#(X1,X2) U64#(X1,mark(X2)) -> U64#(X1,X2) U64#(active(X1),X2) -> U64#(X1,X2) U64#(X1,active(X2)) -> U64#(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) 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) 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) U81#(mark(X1),X2,X3) -> U81#(X1,X2,X3) U81#(X1,mark(X2),X3) -> U81#(X1,X2,X3) U81#(X1,X2,mark(X3)) -> U81#(X1,X2,X3) U81#(active(X1),X2,X3) -> U81#(X1,X2,X3) U81#(X1,active(X2),X3) -> U81#(X1,X2,X3) U81#(X1,X2,active(X3)) -> U81#(X1,X2,X3) U82#(mark(X1),X2,X3) -> U82#(X1,X2,X3) U82#(X1,mark(X2),X3) -> U82#(X1,X2,X3) U82#(X1,X2,mark(X3)) -> U82#(X1,X2,X3) U82#(active(X1),X2,X3) -> U82#(X1,X2,X3) U82#(X1,active(X2),X3) -> U82#(X1,X2,X3) U82#(X1,X2,active(X3)) -> U82#(X1,X2,X3) fst#(mark(X)) -> fst#(X) fst#(active(X)) -> fst#(X) natsFrom#(mark(X)) -> natsFrom#(X) natsFrom#(active(X)) -> natsFrom#(X) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) 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) 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) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) graph: ... SCC Processor: #sccs: 31 #rules: 225 #arcs: 8628/83521 DPs: mark#(take(X1,X2)) -> mark#(X2) mark#(take(X1,X2)) -> active#(take(mark(X1),mark(X2))) active#(take(N,XS)) -> mark#(U81(tt(),N,XS)) mark#(take(X1,X2)) -> mark#(X1) mark#(tail(X)) -> active#(tail(mark(X))) active#(tail(cons(N,XS))) -> mark#(U71(tt(),XS)) mark#(tail(X)) -> mark#(X) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(splitAt(s(N),cons(X,XS))) -> mark#(U61(tt(),N,X,XS)) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) mark#(s(X)) -> active#(s(mark(X))) active#(splitAt(0(),XS)) -> mark#(pair(nil(),XS)) mark#(s(X)) -> mark#(X) mark#(natsFrom(X)) -> active#(natsFrom(mark(X))) active#(snd(pair(X,Y))) -> mark#(U51(tt(),Y)) mark#(natsFrom(X)) -> mark#(X) mark#(fst(X)) -> active#(fst(mark(X))) active#(sel(N,XS)) -> mark#(U41(tt(),N,XS)) mark#(fst(X)) -> mark#(X) mark#(U82(X1,X2,X3)) -> active#(U82(mark(X1),X2,X3)) active#(natsFrom(N)) -> mark#(cons(N,natsFrom(s(N)))) mark#(U82(X1,X2,X3)) -> mark#(X1) mark#(U81(X1,X2,X3)) -> active#(U81(mark(X1),X2,X3)) active#(head(cons(N,XS))) -> mark#(U31(tt(),N)) mark#(U81(X1,X2,X3)) -> mark#(X1) mark#(U72(X1,X2)) -> active#(U72(mark(X1),X2)) active#(fst(pair(X,Y))) -> mark#(U21(tt(),X)) mark#(U72(X1,X2)) -> mark#(X1) mark#(U71(X1,X2)) -> active#(U71(mark(X1),X2)) active#(afterNth(N,XS)) -> mark#(U11(tt(),N,XS)) mark#(U71(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(U82(tt(),N,XS)) -> mark#(fst(splitAt(N,XS))) mark#(cons(X1,X2)) -> mark#(X1) mark#(pair(X1,X2)) -> active#(pair(mark(X1),mark(X2))) active#(U81(tt(),N,XS)) -> mark#(U82(tt(),N,XS)) mark#(pair(X1,X2)) -> mark#(X1) mark#(pair(X1,X2)) -> mark#(X2) mark#(U64(X1,X2)) -> active#(U64(mark(X1),X2)) active#(U72(tt(),XS)) -> mark#(XS) mark#(U64(X1,X2)) -> mark#(X1) mark#(U63(X1,X2,X3,X4)) -> active#(U63(mark(X1),X2,X3,X4)) active#(U71(tt(),XS)) -> mark#(U72(tt(),XS)) mark#(U63(X1,X2,X3,X4)) -> mark#(X1) mark#(U62(X1,X2,X3,X4)) -> active#(U62(mark(X1),X2,X3,X4)) active#(U64(pair(YS,ZS),X)) -> mark#(pair(cons(X,YS),ZS)) mark#(U62(X1,X2,X3,X4)) -> mark#(X1) mark#(U61(X1,X2,X3,X4)) -> active#(U61(mark(X1),X2,X3,X4)) active#(U63(tt(),N,X,XS)) -> mark#(U64(splitAt(N,XS),X)) mark#(U61(X1,X2,X3,X4)) -> mark#(X1) mark#(U52(X1,X2)) -> active#(U52(mark(X1),X2)) active#(U62(tt(),N,X,XS)) -> mark#(U63(tt(),N,X,XS)) mark#(U52(X1,X2)) -> mark#(X1) mark#(U51(X1,X2)) -> active#(U51(mark(X1),X2)) active#(U61(tt(),N,X,XS)) -> mark#(U62(tt(),N,X,XS)) mark#(U51(X1,X2)) -> mark#(X1) mark#(afterNth(X1,X2)) -> active#(afterNth(mark(X1),mark(X2))) active#(U52(tt(),Y)) -> mark#(Y) mark#(afterNth(X1,X2)) -> mark#(X1) mark#(afterNth(X1,X2)) -> mark#(X2) mark#(head(X)) -> active#(head(mark(X))) active#(U51(tt(),Y)) -> mark#(U52(tt(),Y)) mark#(head(X)) -> mark#(X) mark#(U42(X1,X2,X3)) -> active#(U42(mark(X1),X2,X3)) active#(U42(tt(),N,XS)) -> mark#(head(afterNth(N,XS))) mark#(U42(X1,X2,X3)) -> mark#(X1) mark#(U41(X1,X2,X3)) -> active#(U41(mark(X1),X2,X3)) active#(U41(tt(),N,XS)) -> mark#(U42(tt(),N,XS)) mark#(U41(X1,X2,X3)) -> mark#(X1) mark#(U32(X1,X2)) -> active#(U32(mark(X1),X2)) active#(U32(tt(),N)) -> mark#(N) mark#(U32(X1,X2)) -> mark#(X1) mark#(U31(X1,X2)) -> active#(U31(mark(X1),X2)) active#(U31(tt(),N)) -> mark#(U32(tt(),N)) mark#(U31(X1,X2)) -> mark#(X1) mark#(U22(X1,X2)) -> active#(U22(mark(X1),X2)) active#(U22(tt(),X)) -> mark#(X) mark#(U22(X1,X2)) -> mark#(X1) mark#(U21(X1,X2)) -> active#(U21(mark(X1),X2)) active#(U21(tt(),X)) -> mark#(U22(tt(),X)) mark#(U21(X1,X2)) -> mark#(X1) mark#(splitAt(X1,X2)) -> active#(splitAt(mark(X1),mark(X2))) active#(U12(tt(),N,XS)) -> mark#(snd(splitAt(N,XS))) mark#(splitAt(X1,X2)) -> mark#(X1) mark#(splitAt(X1,X2)) -> mark#(X2) mark#(snd(X)) -> active#(snd(mark(X))) active#(U11(tt(),N,XS)) -> mark#(U12(tt(),N,XS)) mark#(snd(X)) -> mark#(X) mark#(U12(X1,X2,X3)) -> active#(U12(mark(X1),X2,X3)) mark#(U12(X1,X2,X3)) -> mark#(X1) mark#(U11(X1,X2,X3)) -> active#(U11(mark(X1),X2,X3)) mark#(U11(X1,X2,X3)) -> mark#(X1) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U12#(active(X1),X2,X3) -> U12#(X1,X2,X3) U12#(X1,X2,active(X3)) -> U12#(X1,X2,X3) U12#(X1,active(X2),X3) -> U12#(X1,X2,X3) U12#(X1,X2,mark(X3)) -> U12#(X1,X2,X3) U12#(X1,mark(X2),X3) -> U12#(X1,X2,X3) U12#(mark(X1),X2,X3) -> U12#(X1,X2,X3) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: splitAt#(mark(X1),X2) -> splitAt#(X1,X2) splitAt#(X1,active(X2)) -> splitAt#(X1,X2) splitAt#(active(X1),X2) -> splitAt#(X1,X2) splitAt#(X1,mark(X2)) -> splitAt#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: snd#(mark(X)) -> snd#(X) snd#(active(X)) -> snd#(X) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U22#(mark(X1),X2) -> U22#(X1,X2) U22#(X1,active(X2)) -> U22#(X1,X2) U22#(active(X1),X2) -> U22#(X1,X2) U22#(X1,mark(X2)) -> U22#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U32#(mark(X1),X2) -> U32#(X1,X2) U32#(X1,active(X2)) -> U32#(X1,X2) U32#(active(X1),X2) -> U32#(X1,X2) U32#(X1,mark(X2)) -> U32#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U42#(mark(X1),X2,X3) -> U42#(X1,X2,X3) U42#(X1,X2,active(X3)) -> U42#(X1,X2,X3) U42#(X1,active(X2),X3) -> U42#(X1,X2,X3) U42#(active(X1),X2,X3) -> U42#(X1,X2,X3) U42#(X1,X2,mark(X3)) -> U42#(X1,X2,X3) U42#(X1,mark(X2),X3) -> U42#(X1,X2,X3) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: afterNth#(mark(X1),X2) -> afterNth#(X1,X2) afterNth#(X1,active(X2)) -> afterNth#(X1,X2) afterNth#(active(X1),X2) -> afterNth#(X1,X2) afterNth#(X1,mark(X2)) -> afterNth#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: head#(mark(X)) -> head#(X) head#(active(X)) -> head#(X) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U52#(mark(X1),X2) -> U52#(X1,X2) U52#(X1,active(X2)) -> U52#(X1,X2) U52#(active(X1),X2) -> U52#(X1,X2) U52#(X1,mark(X2)) -> U52#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U62#(mark(X1),X2,X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,X3,active(X4)) -> U62#(X1,X2,X3,X4) U62#(X1,X2,active(X3),X4) -> U62#(X1,X2,X3,X4) U62#(X1,active(X2),X3,X4) -> U62#(X1,X2,X3,X4) U62#(active(X1),X2,X3,X4) -> U62#(X1,X2,X3,X4) U62#(X1,X2,X3,mark(X4)) -> U62#(X1,X2,X3,X4) U62#(X1,X2,mark(X3),X4) -> U62#(X1,X2,X3,X4) U62#(X1,mark(X2),X3,X4) -> U62#(X1,X2,X3,X4) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U63#(mark(X1),X2,X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,X3,active(X4)) -> U63#(X1,X2,X3,X4) U63#(X1,X2,active(X3),X4) -> U63#(X1,X2,X3,X4) U63#(X1,active(X2),X3,X4) -> U63#(X1,X2,X3,X4) U63#(active(X1),X2,X3,X4) -> U63#(X1,X2,X3,X4) U63#(X1,X2,X3,mark(X4)) -> U63#(X1,X2,X3,X4) U63#(X1,X2,mark(X3),X4) -> U63#(X1,X2,X3,X4) U63#(X1,mark(X2),X3,X4) -> U63#(X1,X2,X3,X4) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U64#(mark(X1),X2) -> U64#(X1,X2) U64#(X1,active(X2)) -> U64#(X1,X2) U64#(active(X1),X2) -> U64#(X1,X2) U64#(X1,mark(X2)) -> U64#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: pair#(mark(X1),X2) -> pair#(X1,X2) pair#(X1,active(X2)) -> pair#(X1,X2) pair#(active(X1),X2) -> pair#(X1,X2) pair#(X1,mark(X2)) -> pair#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U72#(mark(X1),X2) -> U72#(X1,X2) U72#(X1,active(X2)) -> U72#(X1,X2) U72#(active(X1),X2) -> U72#(X1,X2) U72#(X1,mark(X2)) -> U72#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U82#(mark(X1),X2,X3) -> U82#(X1,X2,X3) U82#(X1,X2,active(X3)) -> U82#(X1,X2,X3) U82#(X1,active(X2),X3) -> U82#(X1,X2,X3) U82#(active(X1),X2,X3) -> U82#(X1,X2,X3) U82#(X1,X2,mark(X3)) -> U82#(X1,X2,X3) U82#(X1,mark(X2),X3) -> U82#(X1,X2,X3) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: fst#(mark(X)) -> fst#(X) fst#(active(X)) -> fst#(X) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U11#(mark(X1),X2,X3) -> U11#(X1,X2,X3) U11#(X1,X2,active(X3)) -> U11#(X1,X2,X3) U11#(X1,active(X2),X3) -> U11#(X1,X2,X3) U11#(active(X1),X2,X3) -> U11#(X1,X2,X3) U11#(X1,X2,mark(X3)) -> U11#(X1,X2,X3) U11#(X1,mark(X2),X3) -> U11#(X1,X2,X3) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U21#(mark(X1),X2) -> U21#(X1,X2) U21#(X1,active(X2)) -> U21#(X1,X2) U21#(active(X1),X2) -> U21#(X1,X2) U21#(X1,mark(X2)) -> U21#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U31#(mark(X1),X2) -> U31#(X1,X2) U31#(X1,active(X2)) -> U31#(X1,X2) U31#(active(X1),X2) -> U31#(X1,X2) U31#(X1,mark(X2)) -> U31#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: natsFrom#(mark(X)) -> natsFrom#(X) natsFrom#(active(X)) -> natsFrom#(X) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U41#(mark(X1),X2,X3) -> U41#(X1,X2,X3) U41#(X1,X2,active(X3)) -> U41#(X1,X2,X3) U41#(X1,active(X2),X3) -> U41#(X1,X2,X3) U41#(active(X1),X2,X3) -> U41#(X1,X2,X3) U41#(X1,X2,mark(X3)) -> U41#(X1,X2,X3) U41#(X1,mark(X2),X3) -> U41#(X1,X2,X3) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U51#(mark(X1),X2) -> U51#(X1,X2) U51#(X1,active(X2)) -> U51#(X1,X2) U51#(active(X1),X2) -> U51#(X1,X2) U51#(X1,mark(X2)) -> U51#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U61#(mark(X1),X2,X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,X3,active(X4)) -> U61#(X1,X2,X3,X4) U61#(X1,X2,active(X3),X4) -> U61#(X1,X2,X3,X4) U61#(X1,active(X2),X3,X4) -> U61#(X1,X2,X3,X4) U61#(active(X1),X2,X3,X4) -> U61#(X1,X2,X3,X4) U61#(X1,X2,X3,mark(X4)) -> U61#(X1,X2,X3,X4) U61#(X1,X2,mark(X3),X4) -> U61#(X1,X2,X3,X4) U61#(X1,mark(X2),X3,X4) -> U61#(X1,X2,X3,X4) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U71#(mark(X1),X2) -> U71#(X1,X2) U71#(X1,active(X2)) -> U71#(X1,X2) U71#(active(X1),X2) -> U71#(X1,X2) U71#(X1,mark(X2)) -> U71#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: U81#(mark(X1),X2,X3) -> U81#(X1,X2,X3) U81#(X1,X2,active(X3)) -> U81#(X1,X2,X3) U81#(X1,active(X2),X3) -> U81#(X1,X2,X3) U81#(active(X1),X2,X3) -> U81#(X1,X2,X3) U81#(X1,X2,mark(X3)) -> U81#(X1,X2,X3) U81#(X1,mark(X2),X3) -> U81#(X1,X2,X3) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: sel#(mark(X1),X2) -> sel#(X1,X2) sel#(X1,active(X2)) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) sel#(X1,mark(X2)) -> sel#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: tail#(mark(X)) -> tail#(X) tail#(active(X)) -> tail#(X) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open DPs: take#(mark(X1),X2) -> take#(X1,X2) take#(X1,active(X2)) -> take#(X1,X2) take#(active(X1),X2) -> take#(X1,X2) take#(X1,mark(X2)) -> take#(X1,X2) TRS: active(U11(tt(),N,XS)) -> mark(U12(tt(),N,XS)) active(U12(tt(),N,XS)) -> mark(snd(splitAt(N,XS))) active(U21(tt(),X)) -> mark(U22(tt(),X)) active(U22(tt(),X)) -> mark(X) active(U31(tt(),N)) -> mark(U32(tt(),N)) active(U32(tt(),N)) -> mark(N) active(U41(tt(),N,XS)) -> mark(U42(tt(),N,XS)) active(U42(tt(),N,XS)) -> mark(head(afterNth(N,XS))) active(U51(tt(),Y)) -> mark(U52(tt(),Y)) active(U52(tt(),Y)) -> mark(Y) active(U61(tt(),N,X,XS)) -> mark(U62(tt(),N,X,XS)) active(U62(tt(),N,X,XS)) -> mark(U63(tt(),N,X,XS)) active(U63(tt(),N,X,XS)) -> mark(U64(splitAt(N,XS),X)) active(U64(pair(YS,ZS),X)) -> mark(pair(cons(X,YS),ZS)) active(U71(tt(),XS)) -> mark(U72(tt(),XS)) active(U72(tt(),XS)) -> mark(XS) active(U81(tt(),N,XS)) -> mark(U82(tt(),N,XS)) active(U82(tt(),N,XS)) -> mark(fst(splitAt(N,XS))) active(afterNth(N,XS)) -> mark(U11(tt(),N,XS)) active(fst(pair(X,Y))) -> mark(U21(tt(),X)) active(head(cons(N,XS))) -> mark(U31(tt(),N)) active(natsFrom(N)) -> mark(cons(N,natsFrom(s(N)))) active(sel(N,XS)) -> mark(U41(tt(),N,XS)) active(snd(pair(X,Y))) -> mark(U51(tt(),Y)) active(splitAt(0(),XS)) -> mark(pair(nil(),XS)) active(splitAt(s(N),cons(X,XS))) -> mark(U61(tt(),N,X,XS)) active(tail(cons(N,XS))) -> mark(U71(tt(),XS)) active(take(N,XS)) -> mark(U81(tt(),N,XS)) mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3)) mark(tt()) -> active(tt()) mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3)) mark(snd(X)) -> active(snd(mark(X))) mark(splitAt(X1,X2)) -> active(splitAt(mark(X1),mark(X2))) mark(U21(X1,X2)) -> active(U21(mark(X1),X2)) mark(U22(X1,X2)) -> active(U22(mark(X1),X2)) mark(U31(X1,X2)) -> active(U31(mark(X1),X2)) mark(U32(X1,X2)) -> active(U32(mark(X1),X2)) mark(U41(X1,X2,X3)) -> active(U41(mark(X1),X2,X3)) mark(U42(X1,X2,X3)) -> active(U42(mark(X1),X2,X3)) mark(head(X)) -> active(head(mark(X))) mark(afterNth(X1,X2)) -> active(afterNth(mark(X1),mark(X2))) mark(U51(X1,X2)) -> active(U51(mark(X1),X2)) mark(U52(X1,X2)) -> active(U52(mark(X1),X2)) mark(U61(X1,X2,X3,X4)) -> active(U61(mark(X1),X2,X3,X4)) mark(U62(X1,X2,X3,X4)) -> active(U62(mark(X1),X2,X3,X4)) mark(U63(X1,X2,X3,X4)) -> active(U63(mark(X1),X2,X3,X4)) mark(U64(X1,X2)) -> active(U64(mark(X1),X2)) mark(pair(X1,X2)) -> active(pair(mark(X1),mark(X2))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(U71(X1,X2)) -> active(U71(mark(X1),X2)) mark(U72(X1,X2)) -> active(U72(mark(X1),X2)) mark(U81(X1,X2,X3)) -> active(U81(mark(X1),X2,X3)) mark(U82(X1,X2,X3)) -> active(U82(mark(X1),X2,X3)) mark(fst(X)) -> active(fst(mark(X))) mark(natsFrom(X)) -> active(natsFrom(mark(X))) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(nil()) -> active(nil()) mark(tail(X)) -> active(tail(mark(X))) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 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) 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) U21(mark(X1),X2) -> U21(X1,X2) U21(X1,mark(X2)) -> U21(X1,X2) U21(active(X1),X2) -> U21(X1,X2) U21(X1,active(X2)) -> U21(X1,X2) U22(mark(X1),X2) -> U22(X1,X2) U22(X1,mark(X2)) -> U22(X1,X2) U22(active(X1),X2) -> U22(X1,X2) U22(X1,active(X2)) -> U22(X1,X2) U31(mark(X1),X2) -> U31(X1,X2) U31(X1,mark(X2)) -> U31(X1,X2) U31(active(X1),X2) -> U31(X1,X2) U31(X1,active(X2)) -> U31(X1,X2) U32(mark(X1),X2) -> U32(X1,X2) U32(X1,mark(X2)) -> U32(X1,X2) U32(active(X1),X2) -> U32(X1,X2) U32(X1,active(X2)) -> U32(X1,X2) 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) 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) U51(mark(X1),X2) -> U51(X1,X2) U51(X1,mark(X2)) -> U51(X1,X2) U51(active(X1),X2) -> U51(X1,X2) U51(X1,active(X2)) -> U51(X1,X2) U52(mark(X1),X2) -> U52(X1,X2) U52(X1,mark(X2)) -> U52(X1,X2) U52(active(X1),X2) -> U52(X1,X2) U52(X1,active(X2)) -> U52(X1,X2) U61(mark(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,mark(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,mark(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,mark(X4)) -> U61(X1,X2,X3,X4) U61(active(X1),X2,X3,X4) -> U61(X1,X2,X3,X4) U61(X1,active(X2),X3,X4) -> U61(X1,X2,X3,X4) U61(X1,X2,active(X3),X4) -> U61(X1,X2,X3,X4) U61(X1,X2,X3,active(X4)) -> U61(X1,X2,X3,X4) U62(mark(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,mark(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,mark(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,mark(X4)) -> U62(X1,X2,X3,X4) U62(active(X1),X2,X3,X4) -> U62(X1,X2,X3,X4) U62(X1,active(X2),X3,X4) -> U62(X1,X2,X3,X4) U62(X1,X2,active(X3),X4) -> U62(X1,X2,X3,X4) U62(X1,X2,X3,active(X4)) -> U62(X1,X2,X3,X4) U63(mark(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,mark(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,mark(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,mark(X4)) -> U63(X1,X2,X3,X4) U63(active(X1),X2,X3,X4) -> U63(X1,X2,X3,X4) U63(X1,active(X2),X3,X4) -> U63(X1,X2,X3,X4) U63(X1,X2,active(X3),X4) -> U63(X1,X2,X3,X4) U63(X1,X2,X3,active(X4)) -> U63(X1,X2,X3,X4) U64(mark(X1),X2) -> U64(X1,X2) U64(X1,mark(X2)) -> U64(X1,X2) U64(active(X1),X2) -> U64(X1,X2) U64(X1,active(X2)) -> U64(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) 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) 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) U81(mark(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,mark(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,mark(X3)) -> U81(X1,X2,X3) U81(active(X1),X2,X3) -> U81(X1,X2,X3) U81(X1,active(X2),X3) -> U81(X1,X2,X3) U81(X1,X2,active(X3)) -> U81(X1,X2,X3) U82(mark(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,mark(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,mark(X3)) -> U82(X1,X2,X3) U82(active(X1),X2,X3) -> U82(X1,X2,X3) U82(X1,active(X2),X3) -> U82(X1,X2,X3) U82(X1,X2,active(X3)) -> U82(X1,X2,X3) fst(mark(X)) -> fst(X) fst(active(X)) -> fst(X) natsFrom(mark(X)) -> natsFrom(X) natsFrom(active(X)) -> natsFrom(X) s(mark(X)) -> s(X) s(active(X)) -> s(X) 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) 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) Open