The TRS could not be proven terminating. The proof attempt took 60020 ms.
Problem 1 remains open; application of the following processors failed [DependencyGraph (timeout)].
| active#(tail(cons(N, XS))) | → | mark#(U71(tt, XS)) | U61#(X1, X2, mark(X3), X4) | → | U61#(X1, X2, X3, X4) | |
| mark#(fst(X)) | → | active#(fst(mark(X))) | mark#(U51(X1, X2)) | → | U51#(mark(X1), X2) | |
| active#(take(N, XS)) | → | mark#(U81(tt, N, XS)) | mark#(U11(X1, X2, X3)) | → | U11#(mark(X1), X2, X3) | |
| mark#(take(X1, X2)) | → | active#(take(mark(X1), mark(X2))) | U62#(X1, X2, X3, mark(X4)) | → | U62#(X1, X2, X3, X4) | |
| U52#(X1, active(X2)) | → | U52#(X1, X2) | U51#(mark(X1), X2) | → | U51#(X1, X2) | |
| mark#(U64(X1, X2)) | → | mark#(X1) | U72#(mark(X1), X2) | → | U72#(X1, X2) | |
| U62#(X1, mark(X2), X3, X4) | → | U62#(X1, X2, X3, X4) | mark#(snd(X)) | → | active#(snd(mark(X))) | |
| mark#(U12(X1, X2, X3)) | → | active#(U12(mark(X1), X2, X3)) | mark#(U62(X1, X2, X3, X4)) | → | active#(U62(mark(X1), X2, X3, X4)) | |
| U21#(X1, active(X2)) | → | U21#(X1, X2) | active#(splitAt(0, XS)) | → | pair#(nil, XS) | |
| mark#(s(X)) | → | mark#(X) | mark#(sel(X1, X2)) | → | mark#(X1) | |
| afterNth#(active(X1), X2) | → | afterNth#(X1, X2) | U64#(X1, active(X2)) | → | U64#(X1, X2) | |
| active#(U63(tt, N, X, XS)) | → | mark#(U64(splitAt(N, XS), X)) | mark#(U64(X1, X2)) | → | U64#(mark(X1), X2) | |
| active#(U82(tt, N, XS)) | → | mark#(fst(splitAt(N, XS))) | U82#(X1, active(X2), X3) | → | U82#(X1, X2, X3) | |
| splitAt#(X1, mark(X2)) | → | splitAt#(X1, X2) | mark#(afterNth(X1, X2)) | → | mark#(X1) | |
| U41#(X1, active(X2), X3) | → | U41#(X1, X2, X3) | mark#(U41(X1, X2, X3)) | → | mark#(X1) | |
| U12#(X1, active(X2), X3) | → | U12#(X1, X2, X3) | U12#(X1, X2, mark(X3)) | → | U12#(X1, X2, X3) | |
| head#(active(X)) | → | head#(X) | active#(splitAt(s(N), cons(X, XS))) | → | mark#(U61(tt, N, X, XS)) | |
| U81#(X1, active(X2), X3) | → | U81#(X1, X2, X3) | active#(U11(tt, N, XS)) | → | mark#(U12(tt, N, XS)) | |
| mark#(U11(X1, X2, X3)) | → | mark#(X1) | active#(U64(pair(YS, ZS), X)) | → | pair#(cons(X, YS), ZS) | |
| active#(U82(tt, N, XS)) | → | fst#(splitAt(N, XS)) | mark#(U64(X1, X2)) | → | active#(U64(mark(X1), X2)) | |
| natsFrom#(mark(X)) | → | natsFrom#(X) | active#(U61(tt, N, X, XS)) | → | mark#(U62(tt, N, X, XS)) | |
| active#(U12(tt, N, XS)) | → | mark#(snd(splitAt(N, XS))) | mark#(head(X)) | → | mark#(X) | |
| mark#(U22(X1, X2)) | → | mark#(X1) | mark#(U21(X1, X2)) | → | active#(U21(mark(X1), X2)) | |
| mark#(splitAt(X1, X2)) | → | mark#(X1) | U32#(X1, active(X2)) | → | U32#(X1, X2) | |
| U63#(mark(X1), X2, X3, X4) | → | U63#(X1, X2, X3, X4) | U11#(active(X1), X2, X3) | → | U11#(X1, X2, X3) | |
| cons#(X1, mark(X2)) | → | cons#(X1, X2) | U41#(X1, X2, active(X3)) | → | U41#(X1, X2, X3) | |
| active#(take(N, XS)) | → | U81#(tt, N, XS) | active#(head(cons(N, XS))) | → | U31#(tt, N) | |
| U52#(X1, mark(X2)) | → | U52#(X1, X2) | mark#(fst(X)) | → | mark#(X) | |
| U61#(X1, X2, X3, mark(X4)) | → | U61#(X1, X2, X3, X4) | snd#(mark(X)) | → | snd#(X) | |
| U12#(X1, X2, active(X3)) | → | U12#(X1, X2, X3) | U21#(active(X1), X2) | → | U21#(X1, X2) | |
| pair#(X1, active(X2)) | → | pair#(X1, X2) | mark#(snd(X)) | → | mark#(X) | |
| cons#(active(X1), X2) | → | cons#(X1, X2) | mark#(natsFrom(X)) | → | mark#(X) | |
| mark#(afterNth(X1, X2)) | → | active#(afterNth(mark(X1), mark(X2))) | U62#(active(X1), X2, X3, X4) | → | U62#(X1, X2, X3, X4) | |
| U51#(X1, mark(X2)) | → | U51#(X1, X2) | U82#(X1, mark(X2), X3) | → | U82#(X1, X2, X3) | |
| active#(U62(tt, N, X, XS)) | → | U63#(tt, N, X, XS) | U62#(X1, active(X2), X3, X4) | → | U62#(X1, X2, X3, X4) | |
| mark#(U41(X1, X2, X3)) | → | active#(U41(mark(X1), X2, X3)) | U42#(X1, X2, mark(X3)) | → | U42#(X1, X2, X3) | |
| mark#(U63(X1, X2, X3, X4)) | → | U63#(mark(X1), X2, X3, X4) | mark#(U72(X1, X2)) | → | active#(U72(mark(X1), X2)) | |
| mark#(take(X1, X2)) | → | mark#(X1) | U52#(mark(X1), X2) | → | U52#(X1, X2) | |
| U64#(active(X1), X2) | → | U64#(X1, X2) | afterNth#(X1, mark(X2)) | → | afterNth#(X1, X2) | |
| active#(U64(pair(YS, ZS), X)) | → | cons#(X, YS) | mark#(U52(X1, X2)) | → | U52#(mark(X1), X2) | |
| mark#(s(X)) | → | s#(mark(X)) | mark#(U11(X1, X2, X3)) | → | active#(U11(mark(X1), X2, X3)) | |
| mark#(tail(X)) | → | active#(tail(mark(X))) | active#(natsFrom(N)) | → | mark#(cons(N, natsFrom(s(N)))) | |
| afterNth#(mark(X1), X2) | → | afterNth#(X1, X2) | mark#(natsFrom(X)) | → | active#(natsFrom(mark(X))) | |
| mark#(sel(X1, X2)) | → | sel#(mark(X1), mark(X2)) | mark#(U63(X1, X2, X3, X4)) | → | mark#(X1) | |
| mark#(U61(X1, X2, X3, X4)) | → | mark#(X1) | U42#(active(X1), X2, X3) | → | U42#(X1, X2, X3) | |
| U11#(mark(X1), X2, X3) | → | U11#(X1, X2, X3) | tail#(mark(X)) | → | tail#(X) | |
| U62#(X1, X2, mark(X3), X4) | → | U62#(X1, X2, X3, X4) | take#(X1, mark(X2)) | → | take#(X1, X2) | |
| mark#(splitAt(X1, X2)) | → | active#(splitAt(mark(X1), mark(X2))) | mark#(sel(X1, X2)) | → | active#(sel(mark(X1), mark(X2))) | |
| mark#(U71(X1, X2)) | → | mark#(X1) | cons#(X1, active(X2)) | → | cons#(X1, X2) | |
| active#(U71(tt, XS)) | → | mark#(U72(tt, XS)) | sel#(mark(X1), X2) | → | sel#(X1, X2) | |
| mark#(head(X)) | → | active#(head(mark(X))) | mark#(U41(X1, X2, X3)) | → | U41#(mark(X1), X2, X3) | |
| take#(mark(X1), X2) | → | take#(X1, X2) | mark#(U81(X1, X2, X3)) | → | active#(U81(mark(X1), X2, X3)) | |
| U61#(X1, mark(X2), X3, X4) | → | U61#(X1, X2, X3, X4) | mark#(pair(X1, X2)) | → | pair#(mark(X1), mark(X2)) | |
| U12#(X1, mark(X2), X3) | → | U12#(X1, X2, X3) | active#(U31(tt, N)) | → | U32#(tt, N) | |
| mark#(U21(X1, X2)) | → | mark#(X1) | mark#(U21(X1, X2)) | → | U21#(mark(X1), X2) | |
| splitAt#(active(X1), X2) | → | splitAt#(X1, X2) | mark#(U42(X1, X2, X3)) | → | active#(U42(mark(X1), X2, X3)) | |
| active#(afterNth(N, XS)) | → | U11#(tt, N, XS) | mark#(nil) | → | active#(nil) | |
| U11#(X1, X2, mark(X3)) | → | U11#(X1, X2, X3) | active#(fst(pair(X, Y))) | → | U21#(tt, X) | |
| active#(head(cons(N, XS))) | → | mark#(U31(tt, N)) | take#(X1, active(X2)) | → | take#(X1, X2) | |
| U82#(X1, X2, active(X3)) | → | U82#(X1, X2, X3) | mark#(sel(X1, X2)) | → | mark#(X2) | |
| fst#(mark(X)) | → | fst#(X) | U81#(active(X1), X2, X3) | → | U81#(X1, X2, X3) | |
| mark#(U62(X1, X2, X3, X4)) | → | mark#(X1) | afterNth#(X1, active(X2)) | → | afterNth#(X1, X2) | |
| mark#(U12(X1, X2, X3)) | → | mark#(X1) | mark#(U22(X1, X2)) | → | active#(U22(mark(X1), X2)) | |
| mark#(cons(X1, X2)) | → | cons#(mark(X1), X2) | natsFrom#(active(X)) | → | natsFrom#(X) | |
| active#(U61(tt, N, X, XS)) | → | U62#(tt, N, X, XS) | U81#(X1, X2, mark(X3)) | → | U81#(X1, X2, X3) | |
| mark#(U32(X1, X2)) | → | active#(U32(mark(X1), X2)) | U63#(X1, X2, X3, active(X4)) | → | U63#(X1, X2, X3, X4) | |
| mark#(splitAt(X1, X2)) | → | mark#(X2) | mark#(head(X)) | → | head#(mark(X)) | |
| U72#(active(X1), X2) | → | U72#(X1, X2) | active#(splitAt(s(N), cons(X, XS))) | → | U61#(tt, N, X, XS) | |
| mark#(U62(X1, X2, X3, X4)) | → | U62#(mark(X1), X2, X3, X4) | mark#(take(X1, X2)) | → | take#(mark(X1), mark(X2)) | |
| s#(mark(X)) | → | s#(X) | active#(U63(tt, N, X, XS)) | → | U64#(splitAt(N, XS), X) | |
| mark#(U63(X1, X2, X3, X4)) | → | active#(U63(mark(X1), X2, X3, X4)) | mark#(U31(X1, X2)) | → | U31#(mark(X1), X2) | |
| U32#(active(X1), X2) | → | U32#(X1, X2) | U63#(X1, X2, mark(X3), X4) | → | U63#(X1, X2, X3, X4) | |
| U63#(X1, X2, active(X3), X4) | → | U63#(X1, X2, X3, X4) | mark#(U82(X1, X2, X3)) | → | U82#(mark(X1), X2, X3) | |
| active#(U51(tt, Y)) | → | mark#(U52(tt, Y)) | active#(U81(tt, N, XS)) | → | mark#(U82(tt, N, XS)) | |
| mark#(pair(X1, X2)) | → | mark#(X2) | U71#(X1, mark(X2)) | → | U71#(X1, X2) | |
| splitAt#(mark(X1), X2) | → | splitAt#(X1, X2) | active#(U62(tt, N, X, XS)) | → | mark#(U63(tt, N, X, XS)) | |
| active#(tail(cons(N, XS))) | → | U71#(tt, XS) | active#(U31(tt, N)) | → | mark#(U32(tt, N)) | |
| mark#(U22(X1, X2)) | → | U22#(mark(X1), X2) | U63#(active(X1), X2, X3, X4) | → | U63#(X1, X2, X3, X4) | |
| U72#(X1, active(X2)) | → | U72#(X1, X2) | active#(fst(pair(X, Y))) | → | mark#(U21(tt, X)) | |
| U22#(active(X1), X2) | → | U22#(X1, X2) | active#(sel(N, XS)) | → | U41#(tt, N, XS) | |
| mark#(U72(X1, X2)) | → | mark#(X1) | U63#(X1, mark(X2), X3, X4) | → | U63#(X1, X2, X3, X4) | |
| mark#(U71(X1, X2)) | → | U71#(mark(X1), X2) | mark#(U81(X1, X2, X3)) | → | U81#(mark(X1), X2, X3) | |
| U11#(X1, active(X2), X3) | → | U11#(X1, X2, X3) | U12#(mark(X1), X2, X3) | → | U12#(X1, X2, X3) | |
| U81#(X1, mark(X2), X3) | → | U81#(X1, X2, X3) | U62#(mark(X1), X2, X3, X4) | → | U62#(X1, X2, X3, X4) | |
| active#(U51(tt, Y)) | → | U52#(tt, Y) | mark#(cons(X1, X2)) | → | mark#(X1) | |
| pair#(X1, mark(X2)) | → | pair#(X1, X2) | mark#(U42(X1, X2, X3)) | → | mark#(X1) | |
| mark#(U51(X1, X2)) | → | active#(U51(mark(X1), X2)) | mark#(U82(X1, X2, X3)) | → | mark#(X1) | |
| fst#(active(X)) | → | fst#(X) | sel#(X1, mark(X2)) | → | sel#(X1, X2) | |
| U42#(X1, active(X2), X3) | → | U42#(X1, X2, X3) | mark#(U61(X1, X2, X3, X4)) | → | active#(U61(mark(X1), X2, X3, X4)) | |
| U81#(X1, X2, active(X3)) | → | U81#(X1, X2, X3) | mark#(pair(X1, X2)) | → | mark#(X1) | |
| sel#(X1, active(X2)) | → | sel#(X1, X2) | mark#(tail(X)) | → | mark#(X) | |
| mark#(U32(X1, X2)) | → | mark#(X1) | active#(snd(pair(X, Y))) | → | U51#(tt, Y) | |
| active#(U32(tt, N)) | → | mark#(N) | mark#(afterNth(X1, X2)) | → | mark#(X2) | |
| pair#(mark(X1), X2) | → | pair#(X1, X2) | U51#(X1, active(X2)) | → | U51#(X1, X2) | |
| active#(snd(pair(X, Y))) | → | mark#(U51(tt, Y)) | mark#(U82(X1, X2, X3)) | → | active#(U82(mark(X1), X2, X3)) | |
| U22#(mark(X1), X2) | → | U22#(X1, X2) | cons#(mark(X1), X2) | → | cons#(X1, X2) | |
| mark#(tt) | → | active#(tt) | active#(splitAt(0, XS)) | → | mark#(pair(nil, XS)) | |
| active#(U41(tt, N, XS)) | → | U42#(tt, N, XS) | U61#(mark(X1), X2, X3, X4) | → | U61#(X1, X2, X3, X4) | |
| U31#(X1, active(X2)) | → | U31#(X1, X2) | mark#(tail(X)) | → | tail#(mark(X)) | |
| mark#(splitAt(X1, X2)) | → | splitAt#(mark(X1), mark(X2)) | active#(U42(tt, N, XS)) | → | head#(afterNth(N, XS)) | |
| active#(U12(tt, N, XS)) | → | snd#(splitAt(N, XS)) | mark#(U81(X1, X2, X3)) | → | mark#(X1) | |
| U22#(X1, active(X2)) | → | U22#(X1, X2) | U82#(mark(X1), X2, X3) | → | U82#(X1, X2, X3) | |
| U21#(X1, mark(X2)) | → | U21#(X1, X2) | mark#(U61(X1, X2, X3, X4)) | → | U61#(mark(X1), X2, X3, X4) | |
| U64#(mark(X1), X2) | → | U64#(X1, X2) | U12#(active(X1), X2, X3) | → | U12#(X1, X2, X3) | |
| U71#(mark(X1), X2) | → | U71#(X1, X2) | U62#(X1, X2, X3, active(X4)) | → | U62#(X1, X2, X3, X4) | |
| splitAt#(X1, active(X2)) | → | splitAt#(X1, X2) | mark#(U31(X1, X2)) | → | active#(U31(mark(X1), X2)) | |
| active#(U52(tt, Y)) | → | mark#(Y) | active#(U21(tt, X)) | → | mark#(U22(tt, X)) | |
| active#(U22(tt, X)) | → | mark#(X) | mark#(0) | → | active#(0) | |
| mark#(s(X)) | → | active#(s(mark(X))) | head#(mark(X)) | → | head#(X) | |
| U41#(X1, X2, mark(X3)) | → | U41#(X1, X2, X3) | active#(U72(tt, XS)) | → | mark#(XS) | |
| active#(sel(N, XS)) | → | mark#(U41(tt, N, XS)) | U52#(active(X1), X2) | → | U52#(X1, X2) | |
| active#(afterNth(N, XS)) | → | mark#(U11(tt, N, XS)) | mark#(U12(X1, X2, X3)) | → | U12#(mark(X1), X2, X3) | |
| snd#(active(X)) | → | snd#(X) | active#(U81(tt, N, XS)) | → | U82#(tt, N, XS) | |
| U72#(X1, mark(X2)) | → | U72#(X1, X2) | mark#(U72(X1, X2)) | → | U72#(mark(X1), X2) | |
| U11#(X1, X2, active(X3)) | → | U11#(X1, X2, X3) | active#(natsFrom(N)) | → | natsFrom#(s(N)) | |
| U42#(X1, X2, active(X3)) | → | U42#(X1, X2, X3) | mark#(cons(X1, X2)) | → | active#(cons(mark(X1), X2)) | |
| mark#(fst(X)) | → | fst#(mark(X)) | mark#(snd(X)) | → | snd#(mark(X)) | |
| active#(U12(tt, N, XS)) | → | splitAt#(N, XS) | U31#(active(X1), X2) | → | U31#(X1, X2) | |
| U61#(X1, X2, X3, active(X4)) | → | U61#(X1, X2, X3, X4) | U61#(active(X1), X2, X3, X4) | → | U61#(X1, X2, X3, X4) | |
| mark#(U31(X1, X2)) | → | mark#(X1) | U81#(mark(X1), X2, X3) | → | U81#(X1, X2, X3) | |
| pair#(active(X1), X2) | → | pair#(X1, X2) | U82#(X1, X2, mark(X3)) | → | U82#(X1, X2, X3) | |
| mark#(U32(X1, X2)) | → | U32#(mark(X1), X2) | U42#(mark(X1), X2, X3) | → | U42#(X1, X2, X3) | |
| active#(U42(tt, N, XS)) | → | afterNth#(N, XS) | U42#(X1, mark(X2), X3) | → | U42#(X1, X2, X3) | |
| sel#(active(X1), X2) | → | sel#(X1, X2) | U71#(X1, active(X2)) | → | U71#(X1, X2) | |
| mark#(U42(X1, X2, X3)) | → | U42#(mark(X1), X2, X3) | U41#(active(X1), X2, X3) | → | U41#(X1, X2, X3) | |
| mark#(afterNth(X1, X2)) | → | afterNth#(mark(X1), mark(X2)) | active#(U71(tt, XS)) | → | U72#(tt, XS) | |
| U61#(X1, active(X2), X3, X4) | → | U61#(X1, X2, X3, X4) | U61#(X1, X2, active(X3), X4) | → | U61#(X1, X2, X3, X4) | |
| active#(U11(tt, N, XS)) | → | U12#(tt, N, XS) | mark#(U52(X1, X2)) | → | active#(U52(mark(X1), X2)) | |
| active#(natsFrom(N)) | → | s#(N) | U22#(X1, mark(X2)) | → | U22#(X1, X2) | |
| U62#(X1, X2, active(X3), X4) | → | U62#(X1, X2, X3, X4) | U51#(active(X1), X2) | → | U51#(X1, X2) | |
| U63#(X1, X2, X3, mark(X4)) | → | U63#(X1, X2, X3, X4) | mark#(U51(X1, X2)) | → | mark#(X1) | |
| active#(U42(tt, N, XS)) | → | mark#(head(afterNth(N, XS))) | U31#(X1, mark(X2)) | → | U31#(X1, X2) | |
| U32#(X1, mark(X2)) | → | U32#(X1, X2) | U64#(X1, mark(X2)) | → | U64#(X1, X2) | |
| tail#(active(X)) | → | tail#(X) | active#(U64(pair(YS, ZS), X)) | → | mark#(pair(cons(X, YS), ZS)) | |
| mark#(U71(X1, X2)) | → | active#(U71(mark(X1), X2)) | U41#(mark(X1), X2, X3) | → | U41#(X1, X2, X3) | |
| U82#(active(X1), X2, X3) | → | U82#(X1, X2, X3) | mark#(U52(X1, X2)) | → | mark#(X1) | |
| active#(U63(tt, N, X, XS)) | → | splitAt#(N, XS) | U41#(X1, mark(X2), X3) | → | U41#(X1, X2, X3) | |
| U31#(mark(X1), X2) | → | U31#(X1, X2) | active#(U41(tt, N, XS)) | → | mark#(U42(tt, N, XS)) | |
| U71#(active(X1), X2) | → | U71#(X1, X2) | U21#(mark(X1), X2) | → | U21#(X1, X2) | |
| U32#(mark(X1), X2) | → | U32#(X1, X2) | U11#(X1, mark(X2), X3) | → | U11#(X1, X2, X3) | |
| mark#(take(X1, X2)) | → | mark#(X2) | active#(U82(tt, N, XS)) | → | splitAt#(N, XS) | |
| s#(active(X)) | → | s#(X) | active#(natsFrom(N)) | → | cons#(N, natsFrom(s(N))) | |
| mark#(natsFrom(X)) | → | natsFrom#(mark(X)) | active#(U21(tt, X)) | → | U22#(tt, X) | |
| mark#(pair(X1, X2)) | → | active#(pair(mark(X1), mark(X2))) | take#(active(X1), X2) | → | take#(X1, X2) | |
| U63#(X1, active(X2), X3, X4) | → | U63#(X1, X2, X3, X4) |
| 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) |
Termination of terms over the following signature is verified: pair, natsFrom, fst, U64, U63, U62, U61, U42, U41, head, U21, U22, snd, cons, mark, tail, splitAt, U71, U72, 0, s, U51, tt, take, U82, U81, U52, U11, active, U12, U31, afterNth, U32, sel, nil