MAYBE Time: 44.445220 TRS: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } DP: DP: { 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# tt() -> active# tt(), mark# U11(X1, X2, X3) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3), mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3), mark# snd X -> mark# X, mark# snd X -> active# snd mark X, mark# snd X -> snd# mark X, mark# splitAt(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2), mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2), mark# U22(X1, X2) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2), mark# U22(X1, X2) -> U22#(mark X1, X2), mark# U21(X1, X2) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2), mark# U21(X1, X2) -> U21#(mark X1, X2), mark# U32(X1, X2) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2), mark# U32(X1, X2) -> U32#(mark X1, X2), mark# U31(X1, X2) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2), mark# U31(X1, X2) -> U31#(mark X1, X2), mark# U42(X1, X2, X3) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3), mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3), mark# U41(X1, X2, X3) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3), mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3), mark# head X -> mark# X, mark# head X -> active# head mark X, mark# head X -> head# mark X, mark# afterNth(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2), mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2), mark# U52(X1, X2) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2), mark# U52(X1, X2) -> U52#(mark X1, X2), mark# U51(X1, X2) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2), mark# U51(X1, X2) -> U51#(mark X1, X2), mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4), mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4), mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4), mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4), mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4), mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4), mark# U64(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2), mark# U64(X1, X2) -> U64#(mark X1, X2), mark# pair(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2, mark# pair(X1, X2) -> active# pair(mark X1, mark X2), mark# pair(X1, X2) -> pair#(mark X1, mark X2), mark# cons(X1, X2) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2), mark# cons(X1, X2) -> cons#(mark X1, X2), mark# U72(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2), mark# U72(X1, X2) -> U72#(mark X1, X2), mark# U71(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2), mark# U71(X1, X2) -> U71#(mark X1, X2), mark# U82(X1, X2, X3) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3), mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3), mark# U81(X1, X2, X3) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3), mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3), mark# fst X -> mark# X, mark# fst X -> active# fst mark X, mark# fst X -> fst# mark X, mark# natsFrom X -> mark# X, mark# natsFrom X -> active# natsFrom mark X, mark# natsFrom X -> natsFrom# mark X, mark# s X -> mark# X, mark# s X -> active# s mark X, mark# s X -> s# mark X, mark# sel(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X2, mark# sel(X1, X2) -> active# sel(mark X1, mark X2), mark# sel(X1, X2) -> sel#(mark X1, mark X2), mark# nil() -> active# nil(), mark# 0() -> active# 0(), mark# tail X -> mark# X, mark# tail X -> active# tail mark X, mark# tail X -> tail# mark X, mark# take(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X2, mark# take(X1, X2) -> active# take(mark X1, mark X2), mark# take(X1, X2) -> take#(mark X1, mark X2), U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(X1, active X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(active X1, X2, X3) -> U12#(X1, X2, X3), active# U12(tt(), N, XS) -> mark# snd splitAt(N, XS), active# U12(tt(), N, XS) -> snd# splitAt(N, XS), active# U12(tt(), N, XS) -> splitAt#(N, XS), active# U11(tt(), N, XS) -> mark# U12(tt(), N, XS), active# U11(tt(), N, XS) -> U12#(tt(), N, XS), active# snd pair(X, Y) -> mark# U51(tt(), Y), active# snd pair(X, Y) -> U51#(tt(), Y), active# splitAt(s N, cons(X, XS)) -> mark# U61(tt(), N, X, XS), active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), active# splitAt(0(), XS) -> mark# pair(nil(), XS), active# splitAt(0(), XS) -> pair#(nil(), XS), active# U22(tt(), X) -> mark# X, active# U21(tt(), X) -> mark# U22(tt(), X), active# U21(tt(), X) -> U22#(tt(), X), active# U32(tt(), N) -> mark# N, active# U31(tt(), N) -> mark# U32(tt(), N), active# U31(tt(), N) -> U32#(tt(), N), active# U42(tt(), N, XS) -> mark# head afterNth(N, XS), active# U42(tt(), N, XS) -> head# afterNth(N, XS), active# U42(tt(), N, XS) -> afterNth#(N, XS), active# U41(tt(), N, XS) -> mark# U42(tt(), N, XS), active# U41(tt(), N, XS) -> U42#(tt(), N, XS), active# head cons(N, XS) -> mark# U31(tt(), N), active# head cons(N, XS) -> U31#(tt(), N), active# afterNth(N, XS) -> mark# U11(tt(), N, XS), active# afterNth(N, XS) -> U11#(tt(), N, XS), active# U52(tt(), Y) -> mark# Y, active# U51(tt(), Y) -> mark# U52(tt(), Y), active# U51(tt(), Y) -> U52#(tt(), Y), active# U62(tt(), N, X, XS) -> mark# U63(tt(), N, X, XS), active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), active# U61(tt(), N, X, XS) -> mark# U62(tt(), N, X, XS), active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), active# U63(tt(), N, X, XS) -> mark# U64(splitAt(N, XS), X), active# U63(tt(), N, X, XS) -> splitAt#(N, XS), active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X), active# U64(pair(YS, ZS), X) -> mark# pair(cons(X, YS), ZS), active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), active# U64(pair(YS, ZS), X) -> cons#(X, YS), active# U72(tt(), XS) -> mark# XS, active# U71(tt(), XS) -> mark# U72(tt(), XS), active# U71(tt(), XS) -> U72#(tt(), XS), active# U82(tt(), N, XS) -> mark# fst splitAt(N, XS), active# U82(tt(), N, XS) -> splitAt#(N, XS), active# U82(tt(), N, XS) -> fst# splitAt(N, XS), active# U81(tt(), N, XS) -> mark# U82(tt(), N, XS), active# U81(tt(), N, XS) -> U82#(tt(), N, XS), active# fst pair(X, Y) -> mark# U21(tt(), X), active# fst pair(X, Y) -> U21#(tt(), X), active# natsFrom N -> mark# cons(N, natsFrom s N), active# natsFrom N -> cons#(N, natsFrom s N), active# natsFrom N -> natsFrom# s N, active# natsFrom N -> s# N, active# sel(N, XS) -> mark# U41(tt(), N, XS), active# sel(N, XS) -> U41#(tt(), N, XS), active# tail cons(N, XS) -> mark# U71(tt(), XS), active# tail cons(N, XS) -> U71#(tt(), XS), active# take(N, XS) -> mark# U81(tt(), N, XS), active# take(N, XS) -> U81#(tt(), N, XS), U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3), U11#(X1, mark X2, X3) -> U11#(X1, X2, X3), U11#(X1, active X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(active X1, X2, X3) -> U11#(X1, X2, X3), snd# mark X -> snd# X, snd# active X -> snd# X, splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(active X1, X2) -> splitAt#(X1, X2), U22#(X1, mark X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2), U22#(active X1, X2) -> U22#(X1, X2), U21#(X1, mark X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2), U21#(active X1, X2) -> U21#(X1, X2), U32#(X1, mark X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2), U32#(active X1, X2) -> U32#(X1, X2), U31#(X1, mark X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2), U31#(active X1, X2) -> U31#(X1, X2), U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3), U42#(X1, active X2, X3) -> U42#(X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3), U42#(active X1, X2, X3) -> U42#(X1, X2, X3), U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3), U41#(X1, mark X2, X3) -> U41#(X1, X2, X3), U41#(X1, active X2, X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(active X1, X2, X3) -> U41#(X1, X2, X3), head# mark X -> head# X, head# active X -> head# X, afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(active X1, X2) -> afterNth#(X1, X2), U52#(X1, mark X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2), U52#(active X1, X2) -> U52#(X1, X2), U51#(X1, mark X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2), U51#(active X1, X2) -> U51#(X1, X2), U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U64#(X1, mark X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2), U64#(active X1, X2) -> U64#(X1, X2), pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(active X1, X2) -> pair#(X1, X2), cons#(X1, mark X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2), cons#(active X1, X2) -> cons#(X1, X2), U72#(X1, mark X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2), U72#(active X1, X2) -> U72#(X1, X2), U71#(X1, mark X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2), U71#(active X1, X2) -> U71#(X1, X2), U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3), U82#(X1, active X2, X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(active X1, X2, X3) -> U82#(X1, X2, X3), U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3), U81#(X1, active X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(active X1, X2, X3) -> U81#(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#(X1, mark X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(active X1, X2) -> sel#(X1, X2), tail# mark X -> tail# X, tail# active X -> tail# X, take#(X1, mark X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2), take#(active X1, X2) -> take#(X1, X2) } TRS: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } UR: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2), a(x, y) -> x, a(x, y) -> y } EDG: { (mark# head X -> active# head mark X, active# head cons(N, XS) -> U31#(tt(), N)) (mark# head X -> active# head mark X, active# head cons(N, XS) -> mark# U31(tt(), N)) (mark# natsFrom X -> active# natsFrom mark X, active# natsFrom N -> s# N) (mark# natsFrom X -> active# natsFrom mark X, active# natsFrom N -> natsFrom# s N) (mark# natsFrom X -> active# natsFrom mark X, active# natsFrom N -> cons#(N, natsFrom s N)) (mark# natsFrom X -> active# natsFrom mark X, active# natsFrom N -> mark# cons(N, natsFrom s N)) (mark# tail X -> active# tail mark X, active# tail cons(N, XS) -> U71#(tt(), XS)) (mark# tail X -> active# tail mark X, active# tail cons(N, XS) -> mark# U71(tt(), XS)) (active# U42(tt(), N, XS) -> mark# head afterNth(N, XS), mark# head X -> head# mark X) (active# U42(tt(), N, XS) -> mark# head afterNth(N, XS), mark# head X -> active# head mark X) (active# U42(tt(), N, XS) -> mark# head afterNth(N, XS), mark# head X -> mark# X) (mark# U22(X1, X2) -> active# U22(mark X1, X2), active# U22(tt(), X) -> mark# X) (mark# U32(X1, X2) -> active# U32(mark X1, X2), active# U32(tt(), N) -> mark# N) (mark# U52(X1, X2) -> active# U52(mark X1, X2), active# U52(tt(), Y) -> mark# Y) (mark# U64(X1, X2) -> active# U64(mark X1, X2), active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (mark# U64(X1, X2) -> active# U64(mark X1, X2), active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (mark# U64(X1, X2) -> active# U64(mark X1, X2), active# U64(pair(YS, ZS), X) -> mark# pair(cons(X, YS), ZS)) (mark# U72(X1, X2) -> active# U72(mark X1, X2), active# U72(tt(), XS) -> mark# XS) (active# splitAt(0(), XS) -> mark# pair(nil(), XS), mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (active# splitAt(0(), XS) -> mark# pair(nil(), XS), mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (active# splitAt(0(), XS) -> mark# pair(nil(), XS), mark# pair(X1, X2) -> mark# X2) (active# splitAt(0(), XS) -> mark# pair(nil(), XS), mark# pair(X1, X2) -> mark# X1) (active# U31(tt(), N) -> mark# U32(tt(), N), mark# U32(X1, X2) -> U32#(mark X1, X2)) (active# U31(tt(), N) -> mark# U32(tt(), N), mark# U32(X1, X2) -> active# U32(mark X1, X2)) (active# U31(tt(), N) -> mark# U32(tt(), N), mark# U32(X1, X2) -> mark# X1) (active# head cons(N, XS) -> mark# U31(tt(), N), mark# U31(X1, X2) -> U31#(mark X1, X2)) (active# head cons(N, XS) -> mark# U31(tt(), N), mark# U31(X1, X2) -> active# U31(mark X1, X2)) (active# head cons(N, XS) -> mark# U31(tt(), N), mark# U31(X1, X2) -> mark# X1) (active# U63(tt(), N, X, XS) -> mark# U64(splitAt(N, XS), X), mark# U64(X1, X2) -> U64#(mark X1, X2)) (active# U63(tt(), N, X, XS) -> mark# U64(splitAt(N, XS), X), mark# U64(X1, X2) -> active# U64(mark X1, X2)) (active# U63(tt(), N, X, XS) -> mark# U64(splitAt(N, XS), X), mark# U64(X1, X2) -> mark# X1) (active# U71(tt(), XS) -> mark# U72(tt(), XS), mark# U72(X1, X2) -> U72#(mark X1, X2)) (active# U71(tt(), XS) -> mark# U72(tt(), XS), mark# U72(X1, X2) -> active# U72(mark X1, X2)) (active# U71(tt(), XS) -> mark# U72(tt(), XS), mark# U72(X1, X2) -> mark# X1) (active# fst pair(X, Y) -> mark# U21(tt(), X), mark# U21(X1, X2) -> U21#(mark X1, X2)) (active# fst pair(X, Y) -> mark# U21(tt(), X), mark# U21(X1, X2) -> active# U21(mark X1, X2)) (active# fst pair(X, Y) -> mark# U21(tt(), X), mark# U21(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# take(X1, X2) -> mark# X2) (mark# splitAt(X1, X2) -> mark# X2, mark# take(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# tail X -> tail# mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# tail X -> active# tail mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# tail X -> mark# X) (mark# splitAt(X1, X2) -> mark# X2, mark# 0() -> active# 0()) (mark# splitAt(X1, X2) -> mark# X2, mark# nil() -> active# nil()) (mark# splitAt(X1, X2) -> mark# X2, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# sel(X1, X2) -> mark# X2) (mark# splitAt(X1, X2) -> mark# X2, mark# sel(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# s X -> s# mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# s X -> active# s mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# s X -> mark# X) (mark# splitAt(X1, X2) -> mark# X2, mark# natsFrom X -> natsFrom# mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# natsFrom X -> active# natsFrom mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# natsFrom X -> mark# X) (mark# splitAt(X1, X2) -> mark# X2, mark# fst X -> fst# mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# fst X -> active# fst mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# fst X -> mark# X) (mark# splitAt(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U71(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U72(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# cons(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# pair(X1, X2) -> mark# X2) (mark# splitAt(X1, X2) -> mark# X2, mark# pair(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U64(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X2, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X2, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X2, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X2, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X2, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X2, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U51(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U52(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> mark# X2) (mark# splitAt(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# head X -> head# mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# head X -> active# head mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# head X -> mark# X) (mark# splitAt(X1, X2) -> mark# X2, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U41(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U42(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U31(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U32(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U21(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# U22(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> mark# X2) (mark# splitAt(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# snd X -> snd# mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# snd X -> active# snd mark X) (mark# splitAt(X1, X2) -> mark# X2, mark# snd X -> mark# X) (mark# splitAt(X1, X2) -> mark# X2, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U11(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X2, mark# tt() -> active# tt()) (mark# splitAt(X1, X2) -> mark# X2, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X2, mark# U12(X1, X2, X3) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# take(X1, X2) -> mark# X2) (mark# pair(X1, X2) -> mark# X2, mark# take(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# tail X -> tail# mark X) (mark# pair(X1, X2) -> mark# X2, mark# tail X -> active# tail mark X) (mark# pair(X1, X2) -> mark# X2, mark# tail X -> mark# X) (mark# pair(X1, X2) -> mark# X2, mark# 0() -> active# 0()) (mark# pair(X1, X2) -> mark# X2, mark# nil() -> active# nil()) (mark# pair(X1, X2) -> mark# X2, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# sel(X1, X2) -> mark# X2) (mark# pair(X1, X2) -> mark# X2, mark# sel(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# s X -> s# mark X) (mark# pair(X1, X2) -> mark# X2, mark# s X -> active# s mark X) (mark# pair(X1, X2) -> mark# X2, mark# s X -> mark# X) (mark# pair(X1, X2) -> mark# X2, mark# natsFrom X -> natsFrom# mark X) (mark# pair(X1, X2) -> mark# X2, mark# natsFrom X -> active# natsFrom mark X) (mark# pair(X1, X2) -> mark# X2, mark# natsFrom X -> mark# X) (mark# pair(X1, X2) -> mark# X2, mark# fst X -> fst# mark X) (mark# pair(X1, X2) -> mark# X2, mark# fst X -> active# fst mark X) (mark# pair(X1, X2) -> mark# X2, mark# fst X -> mark# X) (mark# pair(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U71(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U72(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# cons(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# pair(X1, X2) -> mark# X2) (mark# pair(X1, X2) -> mark# X2, mark# pair(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U64(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X2, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X2, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X2, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X2, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X2, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X2, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U51(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U52(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> mark# X2) (mark# pair(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# head X -> head# mark X) (mark# pair(X1, X2) -> mark# X2, mark# head X -> active# head mark X) (mark# pair(X1, X2) -> mark# X2, mark# head X -> mark# X) (mark# pair(X1, X2) -> mark# X2, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U41(X1, X2, X3) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U42(X1, X2, X3) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U31(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U32(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U21(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# pair(X1, X2) -> mark# X2, mark# U22(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> mark# X2) (mark# pair(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# snd X -> snd# mark X) (mark# pair(X1, X2) -> mark# X2, mark# snd X -> active# snd mark X) (mark# pair(X1, X2) -> mark# X2, mark# snd X -> mark# X) (mark# pair(X1, X2) -> mark# X2, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# pair(X1, X2) -> mark# X2, mark# U11(X1, X2, X3) -> mark# X1) (mark# pair(X1, X2) -> mark# X2, mark# tt() -> active# tt()) (mark# pair(X1, X2) -> mark# X2, mark# U12(X1, X2, X3) -> 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splitAt(mark X1, mark X2)) (mark# U11(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# U11(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# U11(X1, X2, X3) -> mark# X1, mark# snd X -> snd# mark X) (mark# U11(X1, X2, X3) -> mark# X1, mark# snd X -> active# snd mark X) (mark# U11(X1, X2, X3) -> mark# X1, mark# snd X -> mark# X) (mark# U11(X1, X2, X3) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# U11(X1, X2, X3) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# U11(X1, X2, X3) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# U11(X1, X2, X3) -> mark# X1, mark# tt() -> active# tt()) (mark# U11(X1, X2, X3) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# U11(X1, X2, X3) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# U11(X1, X2, X3) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# U22(X1, X2) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) 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-> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# U22(X1, X2) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# U22(X1, X2) -> mark# X1, mark# natsFrom X -> mark# X) (mark# U22(X1, X2) -> mark# X1, mark# fst X -> fst# mark X) (mark# U22(X1, X2) -> mark# X1, mark# fst X -> active# fst mark X) (mark# U22(X1, X2) -> mark# X1, mark# fst X -> mark# X) (mark# U22(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# U22(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# U22(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# U22(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# U22(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# U22(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# U22(X1, X2) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U22(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U22(X1, X2) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U22(X1, X2) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U22(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U22(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# U22(X1, X2) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# U22(X1, X2) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# U22(X1, X2) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# U22(X1, X2) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# U22(X1, X2) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# U22(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# U22(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# U22(X1, X2) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# U22(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# U22(X1, X2) -> mark# X1, mark# U64(X1, X2) -> mark# X1) 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mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# U32(X1, X2) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# U32(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# U32(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# U32(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# U32(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# U32(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# U32(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# U32(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# U32(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# U32(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# U32(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# U32(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# head X -> head# mark X) (mark# U32(X1, X2) -> mark# X1, mark# head X -> active# head mark X) (mark# U32(X1, X2) -> mark# X1, mark# head X -> mark# X) (mark# U32(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# U32(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# U32(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# U32(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# U32(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U31(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U32(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# U32(X1, X2) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# U32(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# U32(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# U32(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# snd X -> snd# mark X) (mark# U32(X1, X2) -> mark# X1, mark# snd X -> active# snd mark X) (mark# U32(X1, X2) -> mark# X1, mark# snd X -> mark# X) (mark# U32(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# U32(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# U32(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# U32(X1, X2) -> mark# X1, mark# tt() -> active# tt()) (mark# U32(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# U32(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# U32(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# take(X1, X2) -> mark# X2) (mark# U42(X1, X2, X3) -> mark# X1, mark# take(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# tail X -> tail# mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# tail X -> active# tail mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# tail X -> mark# X) (mark# U42(X1, X2, X3) -> mark# X1, mark# 0() -> active# 0()) (mark# U42(X1, X2, X3) -> mark# X1, mark# nil() -> active# nil()) (mark# U42(X1, X2, X3) -> mark# X1, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# sel(X1, X2) -> mark# X2) (mark# U42(X1, X2, X3) -> mark# X1, mark# sel(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# s X -> s# mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# s X -> active# s mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# s X -> mark# X) (mark# U42(X1, X2, X3) -> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# natsFrom X -> mark# X) (mark# U42(X1, X2, X3) -> mark# X1, mark# fst X -> fst# mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# fst X -> active# fst mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# fst X -> mark# X) (mark# U42(X1, X2, X3) -> mark# X1, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# U42(X1, X2, X3) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# U42(X1, X2, X3) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# head X -> head# mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# head X -> active# head mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# head X -> mark# X) (mark# U42(X1, X2, X3) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U41(X1, X2, X3) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U42(X1, X2, X3) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U31(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U32(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# U42(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# U42(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# snd X -> snd# mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# snd X -> active# snd mark X) (mark# U42(X1, X2, X3) -> mark# X1, mark# snd X -> mark# X) (mark# U42(X1, X2, X3) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# U42(X1, X2, X3) -> mark# X1, mark# tt() -> active# tt()) (mark# U42(X1, X2, X3) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# U42(X1, X2, X3) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# tail X -> tail# mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# tail X -> active# tail mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# tail X -> mark# X) (mark# afterNth(X1, X2) -> mark# X1, mark# 0() -> active# 0()) (mark# afterNth(X1, X2) -> mark# X1, mark# nil() -> active# nil()) (mark# afterNth(X1, X2) -> mark# X1, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# s X -> s# mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# s X -> active# s mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# s X -> mark# X) (mark# afterNth(X1, X2) -> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# natsFrom X -> mark# X) (mark# afterNth(X1, X2) -> mark# X1, mark# fst X -> fst# mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# fst X -> active# fst mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# fst X -> mark# X) (mark# afterNth(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# head X -> head# mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# head X -> active# head mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# head X -> mark# X) (mark# afterNth(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# afterNth(X1, 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afterNth(X1, X2) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# snd X -> snd# mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# snd X -> active# snd mark X) (mark# afterNth(X1, X2) -> mark# X1, mark# snd X -> mark# X) (mark# afterNth(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X1, mark# tt() -> active# tt()) (mark# afterNth(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# U51(X1, X2) -> mark# X1, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# U51(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X2) (mark# U51(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# tail X -> tail# mark X) (mark# U51(X1, X2) -> mark# X1, mark# tail X -> active# tail mark X) (mark# U51(X1, X2) -> mark# X1, mark# tail X -> mark# X) (mark# U51(X1, X2) -> mark# X1, mark# 0() -> active# 0()) (mark# U51(X1, X2) -> mark# X1, mark# nil() -> active# nil()) (mark# U51(X1, X2) -> mark# X1, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# U51(X1, X2) -> mark# X1, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# U51(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X2) (mark# U51(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# s X -> s# mark X) (mark# U51(X1, X2) -> mark# X1, mark# s X -> active# s mark X) (mark# U51(X1, X2) -> mark# X1, mark# s X -> mark# X) (mark# U51(X1, X2) -> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# U51(X1, X2) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# U51(X1, X2) -> mark# X1, mark# natsFrom X -> mark# X) (mark# U51(X1, X2) -> mark# X1, mark# fst X -> fst# mark X) (mark# U51(X1, X2) -> mark# X1, mark# fst X -> active# fst mark X) (mark# U51(X1, X2) -> mark# X1, mark# fst X -> mark# X) (mark# U51(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# U51(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# U51(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# U51(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# U51(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# U51(X1, X2) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# U51(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# U51(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# U51(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# U51(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# U51(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# U51(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# U51(X1, 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mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# U51(X1, X2) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# U51(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# U51(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# U51(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# snd X -> snd# mark X) (mark# U51(X1, X2) -> mark# X1, mark# snd X -> active# snd mark X) (mark# U51(X1, X2) -> mark# X1, mark# snd X -> mark# X) (mark# U51(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# U51(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# U51(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# U51(X1, X2) -> mark# X1, mark# tt() -> active# tt()) (mark# U51(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# U51(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# U51(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# take(X1, X2) -> mark# X2) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# take(X1, X2) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# tail X -> tail# mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# tail X -> active# tail mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# tail X -> mark# X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# 0() -> active# 0()) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# nil() -> active# nil()) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# sel(X1, X2) -> mark# X2) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# sel(X1, X2) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# s X -> s# mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# s X -> active# s mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# s X -> mark# X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# natsFrom X -> mark# X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# fst X -> fst# mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# fst X -> active# fst mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# fst X -> mark# X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U61(X1, 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U52#(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# head X -> head# mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# head X -> active# head mark X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# head X -> mark# X) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U41(X1, X2, X3) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U42(X1, X2, X3) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U31(X1, X2) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U32(X1, X2) -> mark# X1) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# U61(X1, X2, X3, X4) 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mark# U81(X1, X2, X3) -> mark# X1) (mark# U64(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# U64(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# U64(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# U64(X1, X2) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U64(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U64(X1, X2) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U64(X1, X2) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U64(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U64(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# U64(X1, X2) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# U64(X1, X2) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# U64(X1, X2) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# U64(X1, X2) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) 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mark# X1) (mark# fst X -> mark# X, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# fst X -> mark# X, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# fst X -> mark# X, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# fst X -> mark# X, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# fst X -> mark# X, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# fst X -> mark# X, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# fst X -> mark# X, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# fst X -> mark# X, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# fst X -> mark# X, mark# U51(X1, X2) -> mark# X1) (mark# fst X -> mark# X, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# fst X -> mark# X, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# fst X -> mark# X, mark# U52(X1, X2) -> mark# X1) (mark# fst X -> mark# X, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# fst X -> mark# X, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# fst X -> mark# X, mark# afterNth(X1, X2) -> mark# X2) (mark# fst X -> mark# X, mark# afterNth(X1, X2) -> mark# X1) (mark# fst X -> mark# X, mark# head X -> head# mark X) (mark# fst X -> mark# X, mark# head X -> active# head mark X) (mark# fst X -> mark# X, mark# head X -> mark# X) (mark# fst X -> mark# X, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# fst X -> mark# X, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# fst X -> mark# X, mark# U41(X1, X2, X3) -> mark# X1) (mark# fst X -> mark# X, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# fst X -> mark# X, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# fst X -> mark# X, mark# U42(X1, X2, X3) -> mark# X1) (mark# fst X -> mark# X, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# fst X -> mark# X, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# fst X -> mark# X, mark# U31(X1, X2) -> mark# X1) (mark# fst X -> mark# X, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# fst X -> mark# X, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# fst X -> mark# X, mark# U32(X1, X2) -> mark# X1) (mark# fst X -> mark# X, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# fst X -> mark# X, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# fst X -> mark# X, mark# U21(X1, X2) -> mark# X1) (mark# fst X -> mark# X, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# fst X -> mark# X, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# fst X -> mark# X, mark# U22(X1, X2) -> mark# X1) (mark# fst X -> mark# X, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# fst X -> mark# X, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# fst X -> mark# X, mark# splitAt(X1, X2) -> mark# X2) (mark# fst X -> mark# X, mark# splitAt(X1, X2) -> mark# X1) (mark# fst X -> mark# X, mark# snd X -> snd# mark X) (mark# fst X -> mark# X, mark# snd X -> active# snd mark X) (mark# fst X -> mark# X, mark# snd X -> mark# X) (mark# fst X -> mark# X, mark# U11(X1, 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-> sel#(mark X1, mark X2)) (mark# s X -> mark# X, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# s X -> mark# X, mark# sel(X1, X2) -> mark# X2) (mark# s X -> mark# X, mark# sel(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# s X -> s# mark X) (mark# s X -> mark# X, mark# s X -> active# s mark X) (mark# s X -> mark# X, mark# s X -> mark# X) (mark# s X -> mark# X, mark# natsFrom X -> natsFrom# mark X) (mark# s X -> mark# X, mark# natsFrom X -> active# natsFrom mark X) (mark# s X -> mark# X, mark# natsFrom X -> mark# X) (mark# s X -> mark# X, mark# fst X -> fst# mark X) (mark# s X -> mark# X, mark# fst X -> active# fst mark X) (mark# s X -> mark# X, mark# fst X -> mark# X) (mark# s X -> mark# X, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U81(X1, X2, X3) -> mark# X1) (mark# s X -> mark# X, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U82(X1, X2, X3) -> mark# X1) (mark# s X -> mark# X, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# s X -> mark# X, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# s X -> mark# X, mark# U71(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# s X -> mark# X, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# s X -> mark# X, mark# U72(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# s X -> mark# X, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# s X -> mark# X, mark# cons(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# s X -> mark# X, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# s X -> mark# X, mark# pair(X1, X2) -> mark# X2) (mark# s X -> mark# X, mark# pair(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# s X -> mark# X, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# s X -> mark# X, mark# U64(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# s X -> mark# X, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# s X -> mark# X, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# s X -> mark# X, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# s X -> mark# X, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# s X -> mark# X, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# s X -> mark# X, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# s X -> mark# X, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# s X -> mark# X, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# s X -> mark# X, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# s X -> mark# X, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# s X -> mark# X, mark# U51(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# s X -> mark# X, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# s X -> mark# X, mark# U52(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# s X -> mark# X, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# s X -> mark# X, mark# afterNth(X1, X2) -> mark# X2) (mark# s X -> mark# X, mark# afterNth(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# head X -> head# mark X) (mark# s X -> mark# X, mark# head X -> active# head mark X) (mark# s X -> mark# X, mark# head X -> mark# X) (mark# s X -> mark# X, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U41(X1, X2, X3) -> mark# X1) (mark# s X -> mark# X, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U42(X1, X2, X3) -> mark# X1) (mark# s X -> mark# X, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# s X -> mark# X, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# s X -> mark# X, mark# U31(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# s X -> mark# X, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# s X -> mark# X, mark# U32(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# s X -> mark# X, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# s X -> mark# X, mark# U21(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# s X -> mark# X, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# s X -> mark# X, mark# U22(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# s X -> mark# X, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# s X -> mark# X, mark# splitAt(X1, X2) -> mark# X2) (mark# s X -> mark# X, mark# splitAt(X1, X2) -> mark# X1) (mark# s X -> mark# X, mark# snd X -> snd# mark X) (mark# s X -> mark# X, mark# snd X -> active# snd mark X) (mark# s X -> mark# X, mark# snd X -> mark# X) (mark# s X -> mark# X, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U11(X1, X2, X3) -> mark# X1) (mark# s X -> mark# X, mark# tt() -> active# tt()) (mark# s X -> mark# X, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# s X -> mark# X, mark# U12(X1, X2, X3) -> mark# X1) (active# U22(tt(), X) -> mark# X, mark# take(X1, X2) -> take#(mark X1, mark X2)) (active# U22(tt(), X) -> mark# X, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (active# U22(tt(), X) -> mark# X, mark# take(X1, X2) -> mark# X2) (active# U22(tt(), X) -> mark# X, mark# take(X1, X2) -> mark# X1) (active# U22(tt(), X) -> mark# X, mark# tail X -> tail# mark X) (active# U22(tt(), X) -> mark# X, mark# tail X -> active# tail mark X) (active# U22(tt(), X) -> mark# X, mark# tail X -> mark# X) (active# U22(tt(), X) -> mark# X, mark# 0() -> active# 0()) (active# U22(tt(), X) -> mark# X, mark# nil() -> active# nil()) (active# U22(tt(), X) -> mark# X, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (active# U22(tt(), X) -> mark# X, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (active# U22(tt(), X) -> mark# X, mark# sel(X1, X2) -> mark# X2) (active# U22(tt(), X) -> mark# X, mark# sel(X1, X2) -> mark# X1) (active# U22(tt(), X) -> mark# X, mark# s X -> s# mark X) (active# U22(tt(), X) -> mark# X, mark# s X -> active# s mark X) (active# U22(tt(), X) -> mark# X, mark# s X -> mark# X) (active# U22(tt(), X) -> mark# X, mark# natsFrom X -> natsFrom# mark X) (active# U22(tt(), X) -> mark# X, mark# natsFrom X -> active# natsFrom mark X) (active# U22(tt(), X) -> mark# X, mark# natsFrom X -> mark# X) (active# U22(tt(), X) -> mark# X, mark# fst X -> fst# mark X) (active# U22(tt(), X) -> mark# X, mark# fst X -> active# fst mark X) (active# U22(tt(), X) -> mark# X, mark# fst X -> mark# X) (active# U22(tt(), X) -> mark# X, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (active# U22(tt(), X) -> mark# X, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (active# U22(tt(), X) -> mark# X, mark# U81(X1, X2, X3) -> mark# X1) (active# U22(tt(), X) -> mark# X, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (active# U22(tt(), X) -> mark# X, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (active# U22(tt(), X) -> mark# X, mark# U82(X1, X2, X3) -> mark# X1) (active# U22(tt(), X) -> mark# X, mark# U71(X1, X2) -> U71#(mark X1, X2)) (active# U22(tt(), X) -> mark# X, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (active# U22(tt(), X) -> mark# X, mark# U71(X1, X2) -> mark# X1) (active# U22(tt(), X) -> mark# X, mark# U72(X1, X2) -> U72#(mark X1, X2)) (active# U22(tt(), X) -> mark# X, mark# U72(X1, X2) -> 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(active# U32(tt(), N) -> mark# N, mark# U72(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# cons(X1, X2) -> cons#(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# cons(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (active# U32(tt(), N) -> mark# N, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (active# U32(tt(), N) -> mark# N, mark# pair(X1, X2) -> mark# X2) (active# U32(tt(), N) -> mark# N, mark# pair(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U64(X1, X2) -> U64#(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U64(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (active# U32(tt(), N) -> mark# N, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (active# U32(tt(), N) -> mark# N, mark# U63(X1, X2, X3, X4) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (active# U32(tt(), N) -> mark# N, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (active# U32(tt(), N) -> mark# N, mark# U61(X1, X2, X3, X4) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (active# U32(tt(), N) -> mark# N, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (active# U32(tt(), N) -> mark# N, mark# U62(X1, X2, X3, X4) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U51(X1, X2) -> U51#(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U51(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U52(X1, X2) -> U52#(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U52(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (active# U32(tt(), N) -> mark# N, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (active# U32(tt(), N) -> mark# N, mark# afterNth(X1, X2) -> mark# X2) (active# U32(tt(), N) -> mark# N, mark# afterNth(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# head X -> head# mark X) (active# U32(tt(), N) -> mark# N, mark# head X -> active# head mark X) (active# U32(tt(), N) -> mark# N, mark# head X -> mark# X) (active# U32(tt(), N) -> mark# N, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (active# U32(tt(), N) -> mark# N, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (active# U32(tt(), N) -> mark# N, mark# U41(X1, X2, X3) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (active# U32(tt(), N) -> mark# N, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (active# U32(tt(), N) -> mark# N, mark# U42(X1, X2, X3) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U31(X1, X2) -> U31#(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U31(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U32(X1, X2) -> U32#(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U32(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U21(X1, X2) -> U21#(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U21(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# U22(X1, X2) -> U22#(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (active# U32(tt(), N) -> mark# N, mark# U22(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (active# U32(tt(), N) -> mark# N, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (active# U32(tt(), N) -> mark# N, mark# splitAt(X1, X2) -> mark# X2) (active# U32(tt(), N) -> mark# N, mark# splitAt(X1, X2) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# snd X -> snd# mark X) (active# U32(tt(), N) -> mark# N, mark# snd X -> active# snd mark X) (active# U32(tt(), N) -> mark# N, mark# snd X -> mark# X) (active# U32(tt(), N) -> mark# N, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (active# U32(tt(), N) -> mark# N, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (active# U32(tt(), N) -> mark# N, mark# U11(X1, X2, X3) -> mark# X1) (active# U32(tt(), N) -> mark# N, mark# tt() -> active# tt()) (active# U32(tt(), N) -> mark# N, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (active# U32(tt(), N) -> mark# N, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (active# U32(tt(), N) -> mark# N, mark# U12(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2), splitAt#(active X1, X2) -> splitAt#(X1, X2)) (mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2), splitAt#(X1, active X2) -> splitAt#(X1, X2)) (mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (mark# pair(X1, X2) -> pair#(mark X1, mark X2), pair#(active X1, X2) -> pair#(X1, X2)) (mark# pair(X1, X2) -> pair#(mark X1, mark X2), pair#(mark X1, X2) -> pair#(X1, X2)) (mark# pair(X1, X2) -> pair#(mark X1, mark X2), pair#(X1, active X2) -> pair#(X1, X2)) (mark# pair(X1, X2) -> pair#(mark X1, mark X2), pair#(X1, mark X2) -> pair#(X1, X2)) (mark# take(X1, X2) -> take#(mark X1, mark X2), take#(active X1, X2) -> take#(X1, X2)) (mark# take(X1, X2) -> take#(mark X1, mark X2), take#(mark X1, X2) -> take#(X1, X2)) (mark# take(X1, X2) -> take#(mark X1, mark X2), take#(X1, active X2) -> take#(X1, X2)) (mark# take(X1, X2) -> 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U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3)) (U81#(X1, active 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#(X1, X2, mark X3) -> U81#(X1, X2, X3)) (U81#(active X1, X2, X3) -> U81#(X1, X2, X3), U81#(active X1, X2, X3) -> U81#(X1, X2, X3)) (U81#(active X1, X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)) (U81#(active X1, X2, 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, mark X2, X3) -> U81#(X1, X2, X3)) (U81#(active X1, X2, X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3)) (U81#(active X1, X2, X3) -> U81#(X1, X2, X3), U81#(X1, X2, mark X3) -> U81#(X1, X2, X3)) (active# U42(tt(), N, XS) -> afterNth#(N, XS), afterNth#(active X1, X2) -> afterNth#(X1, X2)) (active# U42(tt(), N, XS) -> afterNth#(N, XS), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (active# U42(tt(), N, XS) -> afterNth#(N, XS), afterNth#(X1, active X2) -> afterNth#(X1, X2)) (active# U42(tt(), N, XS) -> afterNth#(N, XS), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (active# U82(tt(), N, XS) -> splitAt#(N, XS), splitAt#(active X1, X2) -> splitAt#(X1, X2)) (active# U82(tt(), N, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U82(tt(), N, XS) -> splitAt#(N, XS), splitAt#(X1, active X2) -> splitAt#(X1, X2)) (active# U82(tt(), N, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U64(pair(YS, ZS), X) -> cons#(X, YS), cons#(active X1, X2) -> cons#(X1, X2)) (active# U64(pair(YS, ZS), X) -> cons#(X, YS), cons#(mark X1, X2) -> cons#(X1, X2)) (active# U64(pair(YS, ZS), X) -> cons#(X, YS), cons#(X1, active X2) -> cons#(X1, X2)) (active# U64(pair(YS, ZS), X) -> cons#(X, YS), cons#(X1, mark X2) -> cons#(X1, X2)) (active# U41(tt(), N, XS) -> U42#(tt(), N, XS), U42#(X1, active X2, X3) -> U42#(X1, X2, X3)) (active# U41(tt(), N, XS) -> U42#(tt(), N, XS), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3)) (active# U41(tt(), N, XS) -> U42#(tt(), N, XS), U42#(X1, X2, active X3) -> U42#(X1, X2, X3)) (active# U41(tt(), N, XS) -> U42#(tt(), N, XS), U42#(X1, X2, mark X3) -> U42#(X1, X2, X3)) (active# U81(tt(), N, XS) -> U82#(tt(), N, XS), U82#(X1, active X2, X3) -> U82#(X1, X2, X3)) (active# U81(tt(), N, XS) -> U82#(tt(), N, XS), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3)) (active# U81(tt(), N, XS) -> U82#(tt(), N, XS), U82#(X1, X2, active X3) -> U82#(X1, X2, X3)) (active# U81(tt(), N, XS) -> U82#(tt(), N, XS), U82#(X1, X2, mark X3) -> U82#(X1, X2, X3)) (active# take(N, XS) -> U81#(tt(), N, XS), U81#(X1, active X2, X3) -> U81#(X1, X2, X3)) (active# take(N, XS) -> U81#(tt(), N, XS), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3)) (active# take(N, XS) -> U81#(tt(), N, XS), U81#(X1, X2, active X3) -> U81#(X1, X2, X3)) (active# take(N, XS) -> U81#(tt(), N, XS), U81#(X1, X2, mark X3) -> U81#(X1, X2, X3)) (active# fst pair(X, Y) -> U21#(tt(), X), U21#(X1, active X2) -> U21#(X1, X2)) (active# fst pair(X, Y) -> U21#(tt(), X), U21#(X1, mark X2) -> U21#(X1, X2)) (mark# U21(X1, X2) -> U21#(mark X1, X2), U21#(active X1, X2) -> U21#(X1, X2)) (mark# U21(X1, X2) -> U21#(mark X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (mark# U21(X1, X2) -> U21#(mark X1, X2), U21#(X1, active X2) -> U21#(X1, X2)) (mark# U21(X1, X2) -> U21#(mark X1, X2), U21#(X1, mark X2) -> U21#(X1, X2)) (mark# U31(X1, X2) -> U31#(mark X1, X2), U31#(active X1, X2) -> U31#(X1, X2)) (mark# U31(X1, X2) -> U31#(mark X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (mark# U31(X1, X2) -> U31#(mark X1, X2), U31#(X1, active X2) -> U31#(X1, X2)) (mark# U31(X1, X2) -> U31#(mark X1, X2), U31#(X1, mark X2) -> U31#(X1, X2)) (mark# U51(X1, X2) -> U51#(mark X1, X2), U51#(active X1, X2) -> U51#(X1, X2)) (mark# U51(X1, X2) -> U51#(mark X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (mark# U51(X1, X2) -> U51#(mark X1, X2), U51#(X1, active X2) -> U51#(X1, X2)) (mark# U51(X1, X2) -> U51#(mark X1, X2), U51#(X1, mark X2) -> U51#(X1, X2)) (mark# cons(X1, X2) -> cons#(mark X1, X2), cons#(active X1, X2) -> cons#(X1, X2)) (mark# cons(X1, X2) -> cons#(mark X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (mark# cons(X1, X2) -> cons#(mark X1, X2), cons#(X1, active X2) -> cons#(X1, X2)) (mark# cons(X1, X2) -> cons#(mark X1, X2), cons#(X1, mark X2) -> cons#(X1, X2)) (mark# U71(X1, X2) -> U71#(mark X1, X2), U71#(active X1, X2) -> U71#(X1, X2)) (mark# U71(X1, X2) -> U71#(mark X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (mark# U71(X1, X2) -> U71#(mark X1, X2), U71#(X1, active X2) -> U71#(X1, X2)) (mark# U71(X1, X2) -> U71#(mark X1, X2), U71#(X1, mark X2) -> U71#(X1, X2)) (mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4), U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4)) (mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4)) (mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4)) (mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4)) (mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)) (mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4), U61#(X1, X2, X3, mark X4) -> U61#(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, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active 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, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, mark 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#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, 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)) (U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active 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#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, mark X2, X3, X4) -> U62#(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, active X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active 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, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4)) (U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(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#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)) (U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, mark X4) -> U62#(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, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active 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, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, mark 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#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, 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)) (U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active 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#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active 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, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4)) (U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)) (U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, mark X4) -> U61#(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, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active 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, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, mark 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#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, 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)) (U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active 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#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, mark X2, X3, X4) -> U63#(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, active X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active 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, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4)) (U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(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#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)) (U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4)) (active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4)) (active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4)) (active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4)) (active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4)) (active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)) (active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4)) (splitAt#(X1, active X2) -> splitAt#(X1, X2), splitAt#(active X1, X2) -> splitAt#(X1, X2)) (splitAt#(X1, active X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (splitAt#(X1, active X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2)) (splitAt#(X1, active X2) -> splitAt#(X1, X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (splitAt#(active X1, X2) -> splitAt#(X1, X2), splitAt#(active X1, X2) -> splitAt#(X1, X2)) (splitAt#(active X1, X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (splitAt#(active 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)) (U22#(X1, active X2) -> U22#(X1, X2), U22#(active X1, X2) -> U22#(X1, X2)) (U22#(X1, active X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (U22#(X1, active X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2)) (U22#(X1, active X2) -> U22#(X1, X2), U22#(X1, mark X2) -> U22#(X1, X2)) (U22#(active X1, X2) -> U22#(X1, X2), U22#(active X1, X2) -> U22#(X1, X2)) (U22#(active X1, X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (U22#(active 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)) (U21#(X1, active X2) -> U21#(X1, X2), U21#(active X1, X2) -> U21#(X1, X2)) (U21#(X1, active X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (U21#(X1, active X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2)) (U21#(X1, active X2) -> U21#(X1, X2), U21#(X1, mark X2) -> U21#(X1, X2)) (U21#(active X1, X2) -> U21#(X1, X2), U21#(active X1, X2) -> U21#(X1, X2)) (U21#(active X1, X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (U21#(active 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)) (U32#(X1, active X2) -> U32#(X1, X2), U32#(active X1, X2) -> U32#(X1, X2)) (U32#(X1, active X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (U32#(X1, active X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2)) (U32#(X1, active X2) -> U32#(X1, X2), U32#(X1, mark X2) -> U32#(X1, X2)) (U32#(active X1, X2) -> U32#(X1, X2), U32#(active X1, X2) -> U32#(X1, X2)) (U32#(active X1, X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (U32#(active 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)) (U31#(X1, active X2) -> U31#(X1, X2), U31#(active X1, X2) -> U31#(X1, X2)) (U31#(X1, active X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (U31#(X1, active X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2)) (U31#(X1, active X2) -> U31#(X1, X2), U31#(X1, mark X2) -> U31#(X1, X2)) (U31#(active X1, X2) -> U31#(X1, X2), U31#(active X1, X2) -> U31#(X1, X2)) (U31#(active X1, X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (U31#(active 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)) (afterNth#(X1, active X2) -> afterNth#(X1, X2), afterNth#(active X1, X2) -> afterNth#(X1, X2)) (afterNth#(X1, active X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (afterNth#(X1, active X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2)) (afterNth#(X1, active X2) -> afterNth#(X1, X2), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (afterNth#(active X1, X2) -> afterNth#(X1, X2), afterNth#(active X1, X2) -> afterNth#(X1, X2)) (afterNth#(active X1, X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (afterNth#(active 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)) (U52#(X1, active X2) -> U52#(X1, X2), U52#(active X1, X2) -> U52#(X1, X2)) (U52#(X1, active X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (U52#(X1, active X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2)) (U52#(X1, active X2) -> U52#(X1, X2), U52#(X1, mark X2) -> U52#(X1, X2)) (U52#(active X1, X2) -> U52#(X1, X2), U52#(active X1, X2) -> U52#(X1, X2)) (U52#(active X1, X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (U52#(active 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)) (U51#(X1, active X2) -> U51#(X1, X2), U51#(active X1, X2) -> U51#(X1, X2)) (U51#(X1, active X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (U51#(X1, active X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2)) (U51#(X1, active X2) -> U51#(X1, X2), U51#(X1, mark X2) -> U51#(X1, X2)) (U51#(active X1, X2) -> U51#(X1, X2), U51#(active X1, X2) -> U51#(X1, X2)) (U51#(active X1, X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (U51#(active 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)) (U64#(X1, active X2) -> U64#(X1, X2), U64#(active X1, X2) -> U64#(X1, X2)) (U64#(X1, active X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)) (U64#(X1, active X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2)) (U64#(X1, active X2) -> U64#(X1, X2), U64#(X1, mark X2) -> U64#(X1, X2)) (U64#(active X1, X2) -> U64#(X1, X2), U64#(active X1, X2) -> U64#(X1, X2)) (U64#(active X1, X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)) (U64#(active 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)) (pair#(X1, active X2) -> pair#(X1, X2), pair#(active X1, X2) -> pair#(X1, X2)) (pair#(X1, active X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)) (pair#(X1, active X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2)) (pair#(X1, active X2) -> pair#(X1, X2), pair#(X1, mark X2) -> pair#(X1, X2)) (pair#(active X1, X2) -> pair#(X1, X2), pair#(active X1, X2) -> pair#(X1, X2)) (pair#(active X1, X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)) (pair#(active 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)) (cons#(X1, active X2) -> cons#(X1, X2), cons#(active X1, X2) -> cons#(X1, X2)) (cons#(X1, active X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (cons#(X1, active X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2)) (cons#(X1, active X2) -> cons#(X1, X2), cons#(X1, mark X2) -> cons#(X1, X2)) (cons#(active X1, X2) -> cons#(X1, X2), cons#(active X1, X2) -> cons#(X1, X2)) (cons#(active X1, X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (cons#(active 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)) (U72#(X1, active X2) -> U72#(X1, X2), U72#(active X1, X2) -> U72#(X1, X2)) (U72#(X1, active X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)) (U72#(X1, active X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2)) (U72#(X1, active X2) -> U72#(X1, X2), U72#(X1, mark X2) -> U72#(X1, X2)) (U72#(active X1, X2) -> U72#(X1, X2), U72#(active X1, X2) -> U72#(X1, X2)) (U72#(active X1, X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)) (U72#(active 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)) (U71#(X1, active X2) -> U71#(X1, X2), U71#(active X1, X2) -> U71#(X1, X2)) (U71#(X1, active X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (U71#(X1, active X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2)) (U71#(X1, active X2) -> U71#(X1, X2), U71#(X1, mark X2) -> U71#(X1, X2)) (U71#(active X1, X2) -> U71#(X1, X2), U71#(active X1, X2) -> U71#(X1, X2)) (U71#(active X1, X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (U71#(active 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)) (sel#(X1, active X2) -> sel#(X1, X2), sel#(active X1, X2) -> sel#(X1, X2)) (sel#(X1, active X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(X1, active X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2)) (sel#(X1, active X2) -> sel#(X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (sel#(active X1, X2) -> sel#(X1, X2), sel#(active X1, X2) -> sel#(X1, X2)) (sel#(active X1, X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(active 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)) (take#(X1, active X2) -> take#(X1, X2), take#(active X1, X2) -> take#(X1, X2)) (take#(X1, active X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (take#(X1, active X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2)) (take#(X1, active X2) -> take#(X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (take#(active X1, X2) -> take#(X1, X2), take#(active X1, X2) -> take#(X1, X2)) (take#(active X1, X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (take#(active 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)) (mark# head X -> head# mark X, head# active X -> head# X) (mark# head X -> head# mark X, head# mark X -> head# X) (mark# natsFrom X -> natsFrom# mark X, natsFrom# active X -> natsFrom# X) (mark# natsFrom X -> natsFrom# mark X, natsFrom# mark X -> natsFrom# X) (mark# tail X -> tail# mark X, tail# active X -> tail# X) (mark# tail X -> tail# mark X, tail# mark X -> tail# X) (mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2), active# splitAt(0(), XS) -> pair#(nil(), XS)) (mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2), active# splitAt(0(), XS) -> mark# pair(nil(), XS)) (mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2), active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2), active# splitAt(s N, cons(X, XS)) -> mark# U61(tt(), N, X, XS)) (mark# take(X1, X2) -> active# take(mark X1, mark X2), active# take(N, XS) -> U81#(tt(), N, XS)) (mark# take(X1, X2) -> active# take(mark X1, mark X2), active# take(N, XS) -> mark# U81(tt(), N, XS)) (active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X), U64#(X1, active X2) -> U64#(X1, X2)) (active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X), U64#(X1, mark X2) -> U64#(X1, X2)) (mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3), active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3), active# U11(tt(), N, XS) -> mark# U12(tt(), N, XS)) (mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3), active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3), active# U41(tt(), N, XS) -> mark# U42(tt(), N, XS)) (mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4), active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4), active# U61(tt(), N, X, XS) -> mark# U62(tt(), N, X, XS)) (mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3), active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3), active# U82(tt(), N, XS) -> splitAt#(N, XS)) (mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3), active# U82(tt(), N, XS) -> mark# fst splitAt(N, XS)) (active# U11(tt(), N, XS) -> mark# U12(tt(), N, XS), mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (active# U11(tt(), N, XS) -> mark# U12(tt(), N, XS), mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (active# U11(tt(), N, XS) -> mark# U12(tt(), N, XS), mark# U12(X1, X2, X3) -> mark# X1) (active# U41(tt(), N, XS) -> mark# U42(tt(), N, XS), mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (active# U41(tt(), N, XS) -> mark# U42(tt(), N, XS), mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (active# U41(tt(), N, XS) -> mark# U42(tt(), N, XS), mark# U42(X1, X2, X3) -> mark# X1) (active# U62(tt(), N, X, XS) -> mark# U63(tt(), N, X, XS), mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (active# U62(tt(), N, X, XS) -> mark# U63(tt(), N, X, XS), mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (active# U62(tt(), N, X, XS) -> mark# U63(tt(), N, X, XS), mark# U63(X1, X2, X3, X4) -> mark# X1) (active# U81(tt(), N, XS) -> mark# U82(tt(), N, XS), mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (active# U81(tt(), N, XS) -> mark# U82(tt(), N, XS), mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (active# U81(tt(), N, XS) -> mark# U82(tt(), N, XS), mark# U82(X1, X2, X3) -> mark# X1) (active# take(N, XS) -> mark# U81(tt(), N, XS), mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (active# take(N, XS) -> mark# U81(tt(), N, XS), mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (active# take(N, XS) -> mark# U81(tt(), N, XS), mark# U81(X1, X2, X3) -> mark# X1) (active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(X1, active X2) -> pair#(X1, X2)) (active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(X1, mark X2) -> pair#(X1, X2)) (active# U71(tt(), XS) -> U72#(tt(), XS), U72#(X1, active X2) -> U72#(X1, X2)) (active# U71(tt(), XS) -> U72#(tt(), XS), U72#(X1, mark X2) -> U72#(X1, X2)) (active# tail cons(N, XS) -> U71#(tt(), XS), U71#(X1, mark X2) -> U71#(X1, X2)) (active# tail cons(N, XS) -> U71#(tt(), XS), U71#(X1, active X2) -> U71#(X1, X2)) (active# splitAt(0(), XS) -> pair#(nil(), XS), pair#(X1, mark X2) -> pair#(X1, X2)) (active# splitAt(0(), XS) -> pair#(nil(), XS), pair#(X1, active X2) -> pair#(X1, X2)) (active# natsFrom N -> cons#(N, natsFrom s N), cons#(mark X1, X2) -> cons#(X1, X2)) (active# natsFrom N -> cons#(N, natsFrom s N), cons#(active X1, X2) -> cons#(X1, X2)) (active# sel(N, XS) -> mark# U41(tt(), N, XS), mark# U41(X1, X2, X3) -> mark# X1) (active# sel(N, XS) -> mark# U41(tt(), N, XS), mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (active# sel(N, XS) -> mark# U41(tt(), N, XS), mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (active# U61(tt(), N, X, XS) -> mark# U62(tt(), N, X, XS), mark# U62(X1, X2, X3, X4) -> mark# X1) (active# U61(tt(), N, X, XS) -> mark# U62(tt(), N, X, XS), mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (active# U61(tt(), N, X, XS) -> mark# U62(tt(), N, X, XS), mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (active# afterNth(N, XS) -> mark# U11(tt(), N, XS), mark# U11(X1, X2, X3) -> mark# X1) (active# afterNth(N, XS) -> mark# U11(tt(), N, XS), mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (active# afterNth(N, XS) -> mark# U11(tt(), N, XS), mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (active# splitAt(s N, cons(X, XS)) -> mark# U61(tt(), N, X, XS), mark# U61(X1, X2, X3, X4) -> mark# X1) (active# splitAt(s N, cons(X, XS)) -> mark# U61(tt(), N, X, XS), mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> mark# U61(tt(), N, X, XS), mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3), active# U81(tt(), N, XS) -> mark# U82(tt(), N, XS)) (mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3), active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4), active# U63(tt(), N, X, XS) -> mark# U64(splitAt(N, XS), X)) (mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4), active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4), active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4), active# U62(tt(), N, X, XS) -> mark# U63(tt(), N, X, XS)) (mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4), active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (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) -> active# U42(mark X1, X2, X3), active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3), active# U42(tt(), N, XS) -> afterNth#(N, XS)) (mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3), active# U12(tt(), N, XS) -> mark# snd splitAt(N, XS)) (mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3), active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3), active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# natsFrom N -> mark# cons(N, natsFrom s N), mark# cons(X1, X2) -> mark# X1) (active# natsFrom N -> mark# cons(N, natsFrom s N), mark# cons(X1, X2) -> active# cons(mark X1, X2)) (active# natsFrom N -> mark# cons(N, natsFrom s N), mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# sel(X1, X2) -> active# sel(mark X1, mark X2), active# sel(N, XS) -> mark# U41(tt(), N, XS)) (mark# sel(X1, X2) -> active# sel(mark X1, mark X2), active# sel(N, XS) -> U41#(tt(), N, XS)) (mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2), active# afterNth(N, XS) -> mark# U11(tt(), N, XS)) (mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2), active# afterNth(N, XS) -> U11#(tt(), N, XS)) (mark# s X -> s# mark X, s# mark X -> s# X) (mark# s X -> s# mark X, s# active X -> s# X) (mark# fst X -> fst# mark X, fst# mark X -> fst# X) (mark# fst X -> fst# mark X, fst# active X -> fst# X) (mark# snd X -> snd# mark X, snd# mark X -> snd# X) (mark# snd X -> snd# mark X, snd# active X -> snd# X) (take#(mark X1, X2) -> take#(X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (take#(mark X1, X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2)) (take#(mark X1, X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (take#(mark X1, X2) -> take#(X1, X2), take#(active X1, X2) -> take#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(active X1, X2) -> take#(X1, X2)) (sel#(mark X1, X2) -> sel#(X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (sel#(mark X1, X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2)) (sel#(mark X1, X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(mark X1, X2) -> sel#(X1, X2), sel#(active X1, X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(active X1, X2) -> sel#(X1, X2)) (U71#(mark X1, X2) -> U71#(X1, X2), U71#(X1, mark X2) -> U71#(X1, X2)) (U71#(mark X1, X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2)) (U71#(mark X1, X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (U71#(mark X1, X2) -> U71#(X1, X2), U71#(active X1, X2) -> U71#(X1, X2)) (U71#(X1, mark X2) -> U71#(X1, X2), U71#(X1, mark X2) -> U71#(X1, X2)) (U71#(X1, mark X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2)) (U71#(X1, mark X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (U71#(X1, mark X2) -> U71#(X1, X2), U71#(active X1, X2) -> U71#(X1, X2)) (U72#(mark X1, X2) -> U72#(X1, X2), U72#(X1, mark X2) -> U72#(X1, X2)) (U72#(mark X1, X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2)) (U72#(mark X1, X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)) (U72#(mark X1, X2) -> U72#(X1, X2), U72#(active X1, X2) -> U72#(X1, X2)) (U72#(X1, mark X2) -> U72#(X1, X2), U72#(X1, mark X2) -> U72#(X1, X2)) (U72#(X1, mark X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2)) (U72#(X1, mark X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)) (U72#(X1, mark X2) -> U72#(X1, X2), U72#(active X1, X2) -> U72#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(X1, mark X2) -> cons#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(active X1, X2) -> cons#(X1, X2)) (cons#(X1, mark X2) -> cons#(X1, X2), cons#(X1, mark X2) -> cons#(X1, X2)) (cons#(X1, mark X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2)) (cons#(X1, mark X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (cons#(X1, mark X2) -> cons#(X1, X2), cons#(active X1, X2) -> cons#(X1, X2)) (pair#(mark X1, X2) -> pair#(X1, X2), pair#(X1, mark X2) -> pair#(X1, X2)) (pair#(mark X1, X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2)) (pair#(mark X1, X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)) (pair#(mark X1, X2) -> pair#(X1, X2), pair#(active X1, X2) -> pair#(X1, X2)) (pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, mark X2) -> pair#(X1, X2)) (pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2)) (pair#(X1, mark X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)) (pair#(X1, mark X2) -> pair#(X1, X2), pair#(active X1, X2) -> pair#(X1, X2)) (U64#(mark X1, X2) -> U64#(X1, X2), U64#(X1, mark X2) -> U64#(X1, X2)) (U64#(mark X1, X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2)) (U64#(mark X1, X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)) (U64#(mark X1, X2) -> U64#(X1, X2), U64#(active X1, X2) -> U64#(X1, X2)) (U64#(X1, mark X2) -> U64#(X1, X2), U64#(X1, mark X2) -> U64#(X1, X2)) (U64#(X1, mark X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2)) (U64#(X1, mark X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)) (U64#(X1, mark X2) -> U64#(X1, X2), U64#(active X1, X2) -> U64#(X1, X2)) (U51#(mark X1, X2) -> U51#(X1, X2), U51#(X1, mark X2) -> U51#(X1, X2)) (U51#(mark X1, X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2)) (U51#(mark X1, X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (U51#(mark X1, X2) -> U51#(X1, X2), U51#(active X1, X2) -> U51#(X1, X2)) (U51#(X1, mark X2) -> U51#(X1, X2), U51#(X1, mark X2) -> U51#(X1, X2)) (U51#(X1, mark X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2)) (U51#(X1, mark X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (U51#(X1, mark X2) -> U51#(X1, X2), U51#(active X1, X2) -> U51#(X1, X2)) (U52#(mark X1, X2) -> U52#(X1, X2), U52#(X1, mark X2) -> U52#(X1, X2)) (U52#(mark X1, X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2)) (U52#(mark X1, X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (U52#(mark X1, X2) -> U52#(X1, X2), U52#(active X1, X2) -> U52#(X1, X2)) (U52#(X1, mark X2) -> U52#(X1, X2), U52#(X1, mark X2) -> U52#(X1, X2)) (U52#(X1, mark X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2)) (U52#(X1, mark X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (U52#(X1, mark X2) -> U52#(X1, X2), U52#(active X1, X2) -> U52#(X1, X2)) (afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2)) (afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(active X1, X2) -> afterNth#(X1, X2)) (afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2)) (afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(active X1, X2) -> afterNth#(X1, X2)) (U31#(mark X1, X2) -> U31#(X1, X2), U31#(X1, mark X2) -> U31#(X1, X2)) (U31#(mark X1, X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2)) (U31#(mark X1, X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (U31#(mark X1, X2) -> U31#(X1, X2), U31#(active X1, X2) -> U31#(X1, X2)) (U31#(X1, mark X2) -> U31#(X1, X2), U31#(X1, mark X2) -> U31#(X1, X2)) (U31#(X1, mark X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2)) (U31#(X1, mark X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (U31#(X1, mark X2) -> U31#(X1, X2), U31#(active X1, X2) -> U31#(X1, X2)) (U32#(mark X1, X2) -> U32#(X1, X2), U32#(X1, mark X2) -> U32#(X1, X2)) (U32#(mark X1, X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2)) (U32#(mark X1, X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (U32#(mark X1, X2) -> U32#(X1, X2), U32#(active X1, X2) -> U32#(X1, X2)) (U32#(X1, mark X2) -> U32#(X1, X2), U32#(X1, mark X2) -> U32#(X1, X2)) (U32#(X1, mark X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2)) (U32#(X1, mark X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (U32#(X1, mark X2) -> U32#(X1, X2), U32#(active X1, X2) -> U32#(X1, X2)) (U21#(mark X1, X2) -> U21#(X1, X2), U21#(X1, mark X2) -> U21#(X1, X2)) (U21#(mark X1, X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2)) (U21#(mark X1, X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (U21#(mark X1, X2) -> U21#(X1, X2), U21#(active X1, X2) -> U21#(X1, X2)) (U21#(X1, mark X2) -> U21#(X1, X2), U21#(X1, mark X2) -> U21#(X1, X2)) (U21#(X1, mark X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2)) (U21#(X1, mark X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (U21#(X1, mark X2) -> U21#(X1, X2), U21#(active X1, X2) -> U21#(X1, X2)) (U22#(mark X1, X2) -> U22#(X1, X2), U22#(X1, mark X2) -> U22#(X1, X2)) (U22#(mark X1, X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2)) (U22#(mark X1, X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (U22#(mark X1, X2) -> U22#(X1, X2), U22#(active X1, X2) -> U22#(X1, X2)) (U22#(X1, mark X2) -> U22#(X1, X2), U22#(X1, mark X2) -> U22#(X1, X2)) (U22#(X1, mark X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2)) (U22#(X1, mark X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (U22#(X1, mark X2) -> U22#(X1, X2), U22#(active X1, X2) -> U22#(X1, X2)) (splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2)) (splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(active X1, X2) -> splitAt#(X1, X2)) (splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2)) (splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(active X1, X2) -> splitAt#(X1, X2)) (active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4)) (active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)) (active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4)) (active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4)) (active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4)) (active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), 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#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)) (U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, 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#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(active X1, X2, X3, 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, X3, mark X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark 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, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, 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, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, mark 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)) (U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, 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#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark 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, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(active X1, X2, X3, X4) -> U63#(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#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)) (U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, 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#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(active X1, X2, X3, 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, X3, mark X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark 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, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, 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, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, mark 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)) (U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, 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#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark 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, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(active X1, X2, X3, X4) -> U61#(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#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)) (U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, 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#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(active X1, X2, X3, 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, X3, mark X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark 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, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, 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, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, mark 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)) (U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, 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#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark 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, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4), U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4), U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4), U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4), U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (mark# U72(X1, X2) -> U72#(mark X1, X2), U72#(X1, mark X2) -> U72#(X1, X2)) (mark# U72(X1, X2) -> U72#(mark X1, X2), U72#(X1, active X2) -> U72#(X1, X2)) (mark# U72(X1, X2) -> U72#(mark X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)) (mark# U72(X1, X2) -> U72#(mark X1, X2), U72#(active X1, X2) -> U72#(X1, X2)) (mark# U64(X1, X2) -> U64#(mark X1, X2), U64#(X1, mark X2) -> U64#(X1, X2)) (mark# U64(X1, X2) -> U64#(mark X1, X2), U64#(X1, active X2) -> U64#(X1, X2)) (mark# U64(X1, X2) -> U64#(mark X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)) (mark# U64(X1, X2) -> U64#(mark X1, X2), U64#(active X1, X2) -> U64#(X1, X2)) (mark# U52(X1, X2) -> U52#(mark X1, X2), U52#(X1, mark X2) -> U52#(X1, X2)) (mark# U52(X1, X2) -> U52#(mark X1, X2), U52#(X1, active X2) -> U52#(X1, X2)) (mark# U52(X1, X2) -> U52#(mark X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (mark# U52(X1, X2) -> U52#(mark X1, X2), U52#(active X1, X2) -> U52#(X1, X2)) (mark# U32(X1, X2) -> U32#(mark X1, X2), U32#(X1, mark 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mark 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#(X1, X2, active X3) -> U12#(X1, X2, X3)) (U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3)) (U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(X1, active X2, X3) -> U12#(X1, X2, X3)) (U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(active X1, X2, X3) -> U12#(X1, X2, X3)) (U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, mark X3) -> U12#(X1, X2, X3)) (U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3)) (U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3)) (U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, active X2, X3) -> U12#(X1, X2, X3)) (U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(active X1, X2, X3) -> U12#(X1, X2, X3)) (mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3), U82#(X1, X2, mark X3) -> U82#(X1, X2, X3)) (mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3)) (mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3)) (mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3), U82#(X1, active X2, X3) -> U82#(X1, X2, X3)) (mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)) (mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3), U82#(active X1, X2, X3) -> U82#(X1, X2, X3)) (mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3), U42#(X1, X2, mark X3) -> U42#(X1, X2, X3)) (mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3)) (mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3)) (mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3), U42#(X1, active X2, X3) -> U42#(X1, X2, X3)) (mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)) (mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3), U42#(active X1, X2, X3) -> U42#(X1, X2, X3)) (mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3), U12#(X1, X2, mark X3) -> U12#(X1, X2, X3)) (mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3)) (mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3)) (mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3), U12#(X1, active X2, X3) -> U12#(X1, X2, X3)) (mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3), U12#(active X1, X2, X3) -> U12#(X1, X2, X3)) (active# U31(tt(), N) -> U32#(tt(), N), U32#(X1, mark X2) -> U32#(X1, X2)) (active# U31(tt(), N) -> U32#(tt(), N), U32#(X1, active X2) -> U32#(X1, X2)) (active# snd pair(X, Y) -> U51#(tt(), Y), U51#(X1, mark X2) -> U51#(X1, X2)) (active# snd pair(X, Y) -> U51#(tt(), Y), U51#(X1, 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-> mark# X1) (active# U72(tt(), XS) -> mark# XS, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (active# U72(tt(), XS) -> mark# XS, mark# U22(X1, X2) -> U22#(mark X1, X2)) (active# U72(tt(), XS) -> mark# XS, mark# U21(X1, X2) -> mark# X1) (active# U72(tt(), XS) -> mark# XS, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (active# U72(tt(), XS) -> mark# XS, mark# U21(X1, X2) -> U21#(mark X1, X2)) (active# U72(tt(), XS) -> mark# XS, mark# U32(X1, X2) -> mark# X1) (active# U72(tt(), XS) -> mark# XS, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (active# U72(tt(), XS) -> mark# XS, mark# U32(X1, X2) -> U32#(mark X1, X2)) (active# U72(tt(), XS) -> mark# XS, mark# U31(X1, X2) -> mark# X1) (active# U72(tt(), XS) -> mark# XS, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (active# U72(tt(), XS) -> mark# XS, mark# U31(X1, X2) -> U31#(mark X1, X2)) (active# U72(tt(), XS) -> mark# XS, mark# U42(X1, X2, X3) -> mark# X1) (active# U72(tt(), XS) -> mark# XS, mark# U42(X1, X2, X3) -> active# U42(mark 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(mark# pair(X1, X2) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# pair(X1, X2) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# pair(X1, X2) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# pair(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# pair(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# pair(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# pair(X1, X2) -> mark# X1, mark# U63(X1, X2, 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-> mark# X1, mark# fst X -> fst# mark X) (mark# pair(X1, X2) -> mark# X1, mark# natsFrom X -> mark# X) (mark# pair(X1, X2) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# pair(X1, X2) -> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# pair(X1, X2) -> mark# X1, mark# s X -> mark# X) (mark# pair(X1, X2) -> mark# X1, mark# s X -> active# s mark X) (mark# pair(X1, X2) -> mark# X1, mark# s X -> s# mark X) (mark# pair(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X2) (mark# pair(X1, X2) -> mark# X1, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X1, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X1, mark# nil() -> active# nil()) (mark# pair(X1, X2) -> mark# X1, mark# 0() -> active# 0()) (mark# pair(X1, X2) -> mark# X1, mark# tail X -> mark# X) (mark# pair(X1, X2) -> mark# X1, mark# tail X -> active# tail mark X) (mark# pair(X1, X2) -> mark# X1, mark# tail X -> tail# mark X) (mark# pair(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X1) (mark# pair(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X2) (mark# pair(X1, X2) -> mark# X1, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# pair(X1, X2) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# tt() -> active# tt()) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# snd X -> mark# X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# snd X -> active# snd mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# snd X -> snd# mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U32(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U31(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U42(X1, X2, X3) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U41(X1, X2, X3) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# head X -> mark# X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# head X -> active# head mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# head X -> head# mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(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) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# fst X -> mark# X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# fst X -> active# fst mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# fst X -> fst# mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# natsFrom X -> mark# X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# s X -> mark# X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# s X -> active# s mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# s X -> s# mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# sel(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# sel(X1, X2) -> mark# X2) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# nil() -> active# nil()) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# 0() -> active# 0()) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# tail X -> mark# X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# tail X -> active# tail mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# tail X -> tail# mark X) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# take(X1, X2) -> mark# X1) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# take(X1, X2) -> mark# X2) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# U63(X1, X2, X3, X4) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# tt() -> active# tt()) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# snd X -> mark# X) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# snd X -> active# snd mark X) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# snd X -> snd# mark X) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U32(X1, X2) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U31(X1, X2) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U42(X1, X2, X3) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U41(X1, X2, X3) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# head X -> mark# X) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# head X -> active# head mark X) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# head X -> head# mark X) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(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) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# U62(X1, X2, X3, X4) -> mark# X1, mark# 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snd X -> snd# mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# U41(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U32(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U31(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U42(X1, X2, X3) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U41(X1, X2, X3) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# U41(X1, X2, X3) -> mark# X1, mark# head X -> mark# X) (mark# U41(X1, X2, X3) -> mark# X1, mark# head X -> active# head mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# head X -> head# mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# U41(X1, X2, X3) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# U41(X1, X2, X3) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# U41(X1, X2, X3) -> mark# X1, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# U41(X1, X2, X3) -> mark# X1, mark# fst X -> mark# X) (mark# U41(X1, X2, X3) -> mark# X1, mark# fst X -> active# fst mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# fst X -> fst# mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# natsFrom X -> mark# X) (mark# U41(X1, X2, X3) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# s X -> mark# X) (mark# U41(X1, X2, X3) -> mark# X1, mark# s X -> active# s mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# s X -> s# mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# sel(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# sel(X1, X2) -> mark# X2) (mark# U41(X1, X2, X3) -> mark# X1, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# nil() -> active# nil()) (mark# U41(X1, X2, X3) -> mark# X1, mark# 0() -> active# 0()) (mark# U41(X1, X2, X3) -> mark# X1, mark# tail X -> mark# X) (mark# U41(X1, X2, X3) -> mark# X1, mark# tail X -> active# tail mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# tail X -> tail# mark X) (mark# U41(X1, X2, X3) -> mark# X1, mark# take(X1, X2) -> mark# X1) (mark# U41(X1, X2, X3) -> mark# X1, mark# take(X1, X2) -> mark# X2) (mark# U41(X1, X2, X3) -> mark# X1, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# U41(X1, X2, X3) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# tt() -> active# tt()) (mark# U31(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# snd X -> mark# X) (mark# U31(X1, X2) -> mark# X1, mark# snd X -> active# snd mark X) (mark# U31(X1, X2) -> mark# X1, mark# snd X -> snd# mark X) (mark# U31(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# U31(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U32(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U31(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# head X -> mark# X) (mark# U31(X1, X2) -> mark# X1, mark# head X -> active# head mark X) (mark# U31(X1, X2) -> mark# X1, mark# head X -> head# mark X) (mark# U31(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# U31(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# U31(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# U31(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# U31(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# U31(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# U31(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# U31(X1, X2) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# U31(X1, X2) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U31(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# U31(X1, X2) -> mark# X1, mark# fst X -> mark# X) (mark# U31(X1, X2) -> mark# X1, mark# fst X -> active# fst mark X) (mark# U31(X1, X2) -> mark# X1, mark# fst X -> fst# mark X) (mark# U31(X1, X2) -> mark# X1, mark# natsFrom X -> mark# X) (mark# U31(X1, X2) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# U31(X1, X2) -> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# U31(X1, X2) -> mark# X1, mark# s X -> mark# X) (mark# U31(X1, X2) -> mark# X1, mark# s X -> active# s mark X) (mark# U31(X1, X2) -> mark# X1, mark# s X -> s# mark X) (mark# U31(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X2) (mark# U31(X1, X2) -> mark# X1, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# nil() -> active# nil()) (mark# U31(X1, X2) -> mark# X1, mark# 0() -> active# 0()) (mark# U31(X1, X2) -> mark# X1, mark# tail X -> mark# X) (mark# U31(X1, X2) -> mark# X1, mark# tail X -> active# tail mark X) (mark# U31(X1, X2) -> mark# X1, mark# tail X -> tail# mark X) (mark# U31(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X1) (mark# U31(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X2) (mark# U31(X1, X2) -> mark# X1, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# U31(X1, X2) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# tt() -> active# tt()) (mark# U21(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# snd X -> mark# X) (mark# U21(X1, X2) -> mark# X1, mark# snd X -> active# snd mark X) (mark# U21(X1, X2) -> mark# X1, mark# snd X -> snd# mark X) (mark# U21(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# U21(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U32(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U31(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# head X -> mark# X) (mark# U21(X1, X2) -> mark# X1, mark# head X -> active# head mark X) (mark# U21(X1, X2) -> mark# X1, mark# head X -> head# mark X) (mark# U21(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# U21(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# U21(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# U21(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# U21(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# U21(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# U21(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# U21(X1, X2) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# U21(X1, X2) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# U21(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# U21(X1, X2) -> mark# X1, mark# fst X -> mark# X) (mark# U21(X1, X2) -> mark# X1, mark# fst X -> active# fst mark X) (mark# U21(X1, X2) -> mark# X1, mark# fst X -> fst# mark X) (mark# U21(X1, X2) -> mark# X1, mark# natsFrom X -> mark# X) (mark# U21(X1, X2) -> mark# X1, mark# natsFrom X -> active# natsFrom mark X) (mark# U21(X1, X2) -> mark# X1, mark# natsFrom X -> natsFrom# mark X) (mark# U21(X1, X2) -> mark# X1, mark# s X -> mark# X) (mark# U21(X1, X2) -> mark# X1, mark# s X -> active# s mark X) (mark# U21(X1, X2) -> mark# X1, mark# s X -> s# mark X) (mark# U21(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X2) (mark# U21(X1, X2) -> mark# X1, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# nil() -> active# nil()) (mark# U21(X1, X2) -> mark# X1, mark# 0() -> active# 0()) (mark# U21(X1, X2) -> mark# X1, mark# tail X -> mark# X) (mark# U21(X1, X2) -> mark# X1, mark# tail X -> active# tail mark X) (mark# U21(X1, X2) -> mark# X1, mark# tail X -> tail# mark X) (mark# U21(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X1) (mark# U21(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X2) (mark# U21(X1, X2) -> mark# X1, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# U21(X1, X2) -> mark# X1, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# tt() -> active# tt()) (mark# splitAt(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# snd X -> mark# X) (mark# splitAt(X1, X2) -> mark# X1, mark# snd X -> active# snd mark X) (mark# splitAt(X1, X2) -> mark# X1, mark# snd X -> snd# mark X) (mark# splitAt(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2) (mark# splitAt(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U22(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U21(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U32(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U31(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# head X -> mark# X) (mark# splitAt(X1, X2) -> mark# X1, mark# head X -> active# head mark X) (mark# splitAt(X1, X2) -> mark# X1, mark# head X -> head# mark X) (mark# splitAt(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2) (mark# splitAt(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U52(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U51(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X1, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X1, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X1, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# splitAt(X1, X2) -> mark# X1, mark# U64(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2) (mark# splitAt(X1, X2) -> mark# X1, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# cons(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U71(X1, X2) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# splitAt(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> mark# X1) (mark# splitAt(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# splitAt(X1, X2) -> mark# X1, mark# U81(X1, X2, X3) -> 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sel(X1, X2) -> mark# X2, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# sel(X1, X2) -> mark# X2, mark# U71(X1, X2) -> mark# X1) (mark# sel(X1, X2) -> mark# X2, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# sel(X1, X2) -> mark# X2, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# sel(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> mark# X1) (mark# sel(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# sel(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# sel(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> mark# X1) (mark# sel(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# sel(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# sel(X1, X2) -> mark# X2, mark# fst X -> mark# X) (mark# sel(X1, X2) -> mark# X2, mark# fst X -> active# fst mark X) (mark# sel(X1, X2) -> mark# X2, mark# fst X -> fst# mark X) (mark# sel(X1, X2) -> mark# X2, mark# natsFrom X -> mark# X) (mark# sel(X1, X2) -> mark# X2, mark# natsFrom X -> active# natsFrom mark X) (mark# sel(X1, X2) -> mark# X2, mark# natsFrom X -> natsFrom# mark X) (mark# sel(X1, X2) -> mark# X2, mark# s X -> mark# X) (mark# sel(X1, X2) -> mark# X2, mark# s X -> active# s mark X) (mark# sel(X1, X2) -> mark# X2, mark# s X -> s# mark X) (mark# sel(X1, X2) -> mark# X2, mark# sel(X1, X2) -> mark# X1) (mark# sel(X1, X2) -> mark# X2, mark# sel(X1, X2) -> mark# X2) (mark# sel(X1, X2) -> mark# X2, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# sel(X1, X2) -> mark# X2, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# sel(X1, X2) -> mark# X2, mark# nil() -> active# nil()) (mark# sel(X1, X2) -> mark# X2, mark# 0() -> active# 0()) (mark# sel(X1, X2) -> mark# X2, mark# tail X -> mark# X) (mark# sel(X1, X2) -> mark# X2, mark# tail X -> active# tail mark X) (mark# sel(X1, X2) -> mark# X2, mark# tail X -> tail# mark X) (mark# sel(X1, X2) -> mark# X2, mark# take(X1, X2) -> mark# X1) (mark# sel(X1, X2) -> mark# X2, mark# take(X1, X2) -> mark# X2) (mark# sel(X1, X2) -> mark# X2, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# sel(X1, X2) -> mark# X2, mark# take(X1, X2) -> take#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U12(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U12(X1, X2, X3) -> U12#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# tt() -> active# tt()) (mark# afterNth(X1, X2) -> mark# X2, mark# U11(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# U11(X1, X2, X3) -> U11#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# snd X -> mark# X) (mark# afterNth(X1, X2) -> mark# X2, mark# snd X -> active# snd mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# snd X -> snd# mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> splitAt#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U22(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U22(X1, X2) -> active# U22(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U22(X1, X2) -> U22#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U21(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U21(X1, X2) -> active# U21(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U21(X1, X2) -> U21#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U32(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U32(X1, X2) -> active# U32(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U32(X1, X2) -> U32#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U31(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U31(X1, X2) -> active# U31(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U31(X1, X2) -> U31#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U42(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# U42(X1, X2, X3) -> U42#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# U41(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# U41(X1, X2, X3) -> U41#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# head X -> mark# X) (mark# afterNth(X1, X2) -> mark# X2, mark# head X -> active# head mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# head X -> head# mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> afterNth#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U52(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U52(X1, X2) -> active# U52(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U52(X1, X2) -> U52#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U51(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U51(X1, X2) -> active# U51(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U62(X1, X2, X3, X4) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X2, mark# U62(X1, X2, X3, X4) -> U62#(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X2, mark# U61(X1, X2, X3, X4) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X2, mark# U61(X1, X2, X3, X4) -> U61#(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X2, mark# U63(X1, X2, X3, X4) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X2, mark# U63(X1, X2, X3, X4) -> U63#(mark X1, X2, X3, X4)) (mark# afterNth(X1, X2) -> mark# X2, mark# U64(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U64(X1, X2) -> active# U64(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U64(X1, X2) -> U64#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# pair(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# pair(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X2, mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# cons(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# cons(X1, X2) -> active# cons(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# cons(X1, X2) -> cons#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U72(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U72(X1, X2) -> active# U72(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U72(X1, X2) -> U72#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U71(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U71(X1, X2) -> active# U71(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U71(X1, X2) -> U71#(mark X1, X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# U82(X1, X2, X3) -> U82#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# U81(X1, X2, X3) -> U81#(mark X1, X2, X3)) (mark# afterNth(X1, X2) -> mark# X2, mark# fst X -> mark# X) (mark# afterNth(X1, X2) -> mark# X2, mark# fst X -> active# fst mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# fst X -> fst# mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# natsFrom X -> mark# X) (mark# afterNth(X1, X2) -> mark# X2, mark# natsFrom X -> active# natsFrom mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# natsFrom X -> natsFrom# mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# s X -> mark# X) (mark# afterNth(X1, X2) -> mark# X2, mark# s X -> active# s mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# s X -> s# mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# sel(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# sel(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X2, mark# sel(X1, X2) -> active# sel(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# sel(X1, X2) -> sel#(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# nil() -> active# nil()) (mark# afterNth(X1, X2) -> mark# X2, mark# 0() -> active# 0()) (mark# afterNth(X1, X2) -> mark# X2, mark# tail X -> mark# X) (mark# afterNth(X1, X2) -> mark# X2, mark# tail X -> active# tail mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# tail X -> tail# mark X) (mark# afterNth(X1, X2) -> mark# X2, mark# take(X1, X2) -> mark# X1) (mark# afterNth(X1, X2) -> mark# X2, mark# take(X1, X2) -> mark# X2) (mark# afterNth(X1, X2) -> mark# X2, mark# take(X1, X2) -> active# take(mark X1, mark X2)) (mark# afterNth(X1, X2) -> mark# X2, mark# take(X1, X2) -> take#(mark X1, mark X2)) (active# tail cons(N, XS) -> mark# U71(tt(), XS), mark# U71(X1, X2) -> mark# X1) (active# tail cons(N, XS) -> mark# U71(tt(), XS), mark# U71(X1, X2) -> active# U71(mark X1, X2)) (active# tail cons(N, XS) -> mark# U71(tt(), XS), mark# U71(X1, X2) -> U71#(mark X1, X2)) (active# U64(pair(YS, ZS), X) -> mark# pair(cons(X, YS), ZS), mark# pair(X1, X2) -> mark# X1) (active# U64(pair(YS, ZS), X) -> mark# pair(cons(X, YS), ZS), mark# pair(X1, X2) -> mark# X2) (active# U64(pair(YS, ZS), X) -> mark# pair(cons(X, YS), ZS), mark# pair(X1, X2) -> active# pair(mark X1, mark X2)) (active# U64(pair(YS, ZS), X) -> mark# pair(cons(X, YS), ZS), mark# pair(X1, X2) -> pair#(mark X1, mark X2)) (active# U51(tt(), Y) -> mark# U52(tt(), Y), mark# U52(X1, X2) -> mark# X1) (active# U51(tt(), Y) -> mark# U52(tt(), Y), mark# U52(X1, X2) -> active# U52(mark X1, X2)) (active# U51(tt(), Y) -> mark# U52(tt(), Y), mark# U52(X1, X2) -> U52#(mark X1, X2)) (active# U21(tt(), X) -> mark# U22(tt(), X), mark# U22(X1, X2) -> mark# X1) (active# U21(tt(), X) -> mark# U22(tt(), X), mark# U22(X1, X2) -> active# U22(mark X1, X2)) (active# U21(tt(), X) -> mark# U22(tt(), X), mark# U22(X1, X2) -> U22#(mark X1, X2)) (active# snd pair(X, Y) -> mark# U51(tt(), Y), mark# U51(X1, X2) -> mark# X1) (active# snd pair(X, Y) -> mark# U51(tt(), Y), mark# U51(X1, X2) -> active# U51(mark X1, X2)) (active# snd pair(X, Y) -> mark# U51(tt(), Y), mark# U51(X1, X2) -> U51#(mark X1, X2)) (mark# U71(X1, X2) -> active# U71(mark X1, X2), active# U71(tt(), XS) -> mark# U72(tt(), XS)) (mark# U71(X1, X2) -> active# U71(mark X1, X2), active# U71(tt(), XS) -> U72#(tt(), XS)) (mark# U51(X1, X2) -> active# U51(mark X1, X2), active# U51(tt(), Y) -> mark# U52(tt(), Y)) (mark# U51(X1, X2) -> active# U51(mark X1, X2), active# U51(tt(), Y) -> U52#(tt(), Y)) (mark# U31(X1, X2) -> active# U31(mark X1, X2), active# U31(tt(), N) -> mark# U32(tt(), N)) (mark# U31(X1, X2) -> active# U31(mark X1, X2), active# U31(tt(), N) -> U32#(tt(), N)) (mark# U21(X1, X2) -> active# U21(mark X1, X2), active# U21(tt(), X) -> mark# U22(tt(), X)) (mark# U21(X1, X2) -> active# U21(mark X1, X2), active# U21(tt(), X) -> U22#(tt(), X)) (active# U82(tt(), N, XS) -> mark# fst splitAt(N, XS), mark# fst X -> mark# X) (active# U82(tt(), N, XS) -> mark# fst splitAt(N, XS), mark# fst X -> active# fst mark X) (active# U82(tt(), N, XS) -> mark# fst splitAt(N, XS), mark# fst X -> fst# mark X) (active# U12(tt(), N, XS) -> mark# snd splitAt(N, XS), mark# snd X -> mark# X) (active# U12(tt(), N, XS) -> mark# snd splitAt(N, XS), mark# snd X -> active# snd mark X) (active# U12(tt(), N, XS) -> mark# snd splitAt(N, XS), mark# snd X -> snd# mark X) (mark# fst X -> active# fst mark X, active# fst pair(X, Y) -> mark# U21(tt(), X)) (mark# fst X -> active# fst mark X, active# fst pair(X, Y) -> U21#(tt(), X)) (mark# snd X -> active# snd mark X, active# snd pair(X, Y) -> mark# U51(tt(), Y)) (mark# snd X -> active# snd mark X, active# snd pair(X, Y) -> U51#(tt(), Y)) } STATUS: arrows: 0.941967 SCCS (31): Scc: { mark# U12(X1, X2, X3) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3), mark# U11(X1, X2, X3) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3), mark# snd X -> mark# X, mark# snd X -> active# snd mark X, mark# splitAt(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2), mark# U22(X1, X2) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2), mark# U21(X1, X2) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2), mark# U32(X1, X2) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2), mark# U31(X1, X2) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2), mark# U42(X1, X2, X3) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3), mark# U41(X1, X2, X3) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3), mark# head X -> mark# X, mark# head X -> active# head mark X, mark# afterNth(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2), mark# U52(X1, X2) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2), mark# U51(X1, X2) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2), mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4), mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4), mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4), mark# U64(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2), mark# pair(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2, mark# cons(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2), mark# U71(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2), mark# U82(X1, X2, X3) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3), mark# U81(X1, X2, X3) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3), mark# fst X -> mark# X, mark# fst X -> active# fst mark X, mark# natsFrom X -> mark# X, mark# natsFrom X -> active# natsFrom mark X, mark# s X -> mark# X, mark# sel(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X2, mark# sel(X1, X2) -> active# sel(mark X1, mark X2), mark# tail X -> mark# X, mark# tail X -> active# tail mark X, mark# take(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X2, mark# take(X1, X2) -> active# take(mark X1, mark X2), active# U12(tt(), N, XS) -> mark# snd splitAt(N, XS), active# U11(tt(), N, XS) -> mark# U12(tt(), N, XS), active# snd pair(X, Y) -> mark# U51(tt(), Y), active# splitAt(s N, cons(X, XS)) -> mark# U61(tt(), N, X, XS), active# splitAt(0(), XS) -> mark# pair(nil(), XS), active# U22(tt(), X) -> mark# X, active# U21(tt(), X) -> mark# U22(tt(), X), active# U32(tt(), N) -> mark# N, active# U31(tt(), N) -> mark# U32(tt(), N), active# U42(tt(), N, XS) -> mark# head afterNth(N, XS), active# U41(tt(), N, XS) -> mark# U42(tt(), N, XS), active# head cons(N, XS) -> mark# U31(tt(), N), active# afterNth(N, XS) -> mark# U11(tt(), N, XS), active# U52(tt(), Y) -> mark# Y, active# U51(tt(), Y) -> mark# U52(tt(), Y), active# U62(tt(), N, X, XS) -> mark# U63(tt(), N, X, XS), active# U61(tt(), N, X, XS) -> mark# U62(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# U72(tt(), XS) -> mark# XS, active# U71(tt(), XS) -> mark# U72(tt(), XS), active# U82(tt(), N, XS) -> mark# fst splitAt(N, XS), active# U81(tt(), N, XS) -> mark# U82(tt(), N, XS), active# fst pair(X, Y) -> mark# U21(tt(), X), active# natsFrom N -> mark# cons(N, natsFrom s N), active# sel(N, XS) -> mark# U41(tt(), N, XS), active# tail cons(N, XS) -> mark# U71(tt(), XS), active# take(N, XS) -> mark# U81(tt(), N, XS)} Scc: { take#(X1, mark X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2), take#(active X1, X2) -> take#(X1, X2)} Scc: { tail# mark X -> tail# X, tail# active X -> tail# X} Scc: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(active X1, X2) -> sel#(X1, X2)} Scc: { natsFrom# mark X -> natsFrom# X, natsFrom# active X -> natsFrom# X} Scc: { s# mark X -> s# X, s# active X -> s# X} Scc: { fst# mark X -> fst# X, fst# active X -> fst# X} Scc: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3), U81#(X1, active X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(active X1, X2, X3) -> U81#(X1, X2, X3)} Scc: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3), U82#(X1, active X2, X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(active X1, X2, X3) -> U82#(X1, X2, X3)} Scc: { U71#(X1, mark X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2), U71#(active X1, X2) -> U71#(X1, X2)} Scc: { U72#(X1, mark X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2), U72#(active X1, X2) -> U72#(X1, X2)} Scc: { cons#(X1, mark X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2), cons#(active X1, X2) -> cons#(X1, X2)} Scc: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(active X1, X2) -> pair#(X1, X2)} Scc: { U64#(X1, mark X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2), U64#(active X1, X2) -> U64#(X1, X2)} Scc: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)} Scc: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)} Scc: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)} Scc: { U51#(X1, mark X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2), U51#(active X1, X2) -> U51#(X1, X2)} Scc: { U52#(X1, mark X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2), U52#(active X1, X2) -> U52#(X1, X2)} Scc: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(active X1, X2) -> afterNth#(X1, X2)} Scc: { head# mark X -> head# X, head# active X -> head# X} Scc: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3), U41#(X1, mark X2, X3) -> U41#(X1, X2, X3), U41#(X1, active X2, X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(active X1, X2, X3) -> U41#(X1, X2, X3)} Scc: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3), U42#(X1, active X2, X3) -> U42#(X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3), U42#(active X1, X2, X3) -> U42#(X1, X2, X3)} Scc: { U31#(X1, mark X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2), U31#(active X1, X2) -> U31#(X1, X2)} Scc: { U32#(X1, mark X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2), U32#(active X1, X2) -> U32#(X1, X2)} Scc: { U21#(X1, mark X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2), U21#(active X1, X2) -> U21#(X1, X2)} Scc: { U22#(X1, mark X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2), U22#(active X1, X2) -> U22#(X1, X2)} Scc: { splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(active X1, X2) -> splitAt#(X1, X2)} Scc: { snd# mark X -> snd# X, snd# active X -> snd# X} Scc: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3), U11#(X1, mark X2, X3) -> U11#(X1, X2, X3), U11#(X1, active X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(active X1, X2, X3) -> U11#(X1, X2, X3)} Scc: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(X1, active X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(active X1, X2, X3) -> U12#(X1, X2, X3)} SCC (90): Strict: { mark# U12(X1, X2, X3) -> mark# X1, mark# U12(X1, X2, X3) -> active# U12(mark X1, X2, X3), mark# U11(X1, X2, X3) -> mark# X1, mark# U11(X1, X2, X3) -> active# U11(mark X1, X2, X3), mark# snd X -> mark# X, mark# snd X -> active# snd mark X, mark# splitAt(X1, X2) -> mark# X1, mark# splitAt(X1, X2) -> mark# X2, mark# splitAt(X1, X2) -> active# splitAt(mark X1, mark X2), mark# U22(X1, X2) -> mark# X1, mark# U22(X1, X2) -> active# U22(mark X1, X2), mark# U21(X1, X2) -> mark# X1, mark# U21(X1, X2) -> active# U21(mark X1, X2), mark# U32(X1, X2) -> mark# X1, mark# U32(X1, X2) -> active# U32(mark X1, X2), mark# U31(X1, X2) -> mark# X1, mark# U31(X1, X2) -> active# U31(mark X1, X2), mark# U42(X1, X2, X3) -> mark# X1, mark# U42(X1, X2, X3) -> active# U42(mark X1, X2, X3), mark# U41(X1, X2, X3) -> mark# X1, mark# U41(X1, X2, X3) -> active# U41(mark X1, X2, X3), mark# head X -> mark# X, mark# head X -> active# head mark X, mark# afterNth(X1, X2) -> mark# X1, mark# afterNth(X1, X2) -> mark# X2, mark# afterNth(X1, X2) -> active# afterNth(mark X1, mark X2), mark# U52(X1, X2) -> mark# X1, mark# U52(X1, X2) -> active# U52(mark X1, X2), mark# U51(X1, X2) -> mark# X1, mark# U51(X1, X2) -> active# U51(mark X1, X2), mark# U62(X1, X2, X3, X4) -> mark# X1, mark# U62(X1, X2, X3, X4) -> active# U62(mark X1, X2, X3, X4), mark# U61(X1, X2, X3, X4) -> mark# X1, mark# U61(X1, X2, X3, X4) -> active# U61(mark X1, X2, X3, X4), mark# U63(X1, X2, X3, X4) -> mark# X1, mark# U63(X1, X2, X3, X4) -> active# U63(mark X1, X2, X3, X4), mark# U64(X1, X2) -> mark# X1, mark# U64(X1, X2) -> active# U64(mark X1, X2), mark# pair(X1, X2) -> mark# X1, mark# pair(X1, X2) -> mark# X2, mark# cons(X1, X2) -> mark# X1, mark# U72(X1, X2) -> mark# X1, mark# U72(X1, X2) -> active# U72(mark X1, X2), mark# U71(X1, X2) -> mark# X1, mark# U71(X1, X2) -> active# U71(mark X1, X2), mark# U82(X1, X2, X3) -> mark# X1, mark# U82(X1, X2, X3) -> active# U82(mark X1, X2, X3), mark# U81(X1, X2, X3) -> mark# X1, mark# U81(X1, X2, X3) -> active# U81(mark X1, X2, X3), mark# fst X -> mark# X, mark# fst X -> active# fst mark X, mark# natsFrom X -> mark# X, mark# natsFrom X -> active# natsFrom mark X, mark# s X -> mark# X, mark# sel(X1, X2) -> mark# X1, mark# sel(X1, X2) -> mark# X2, mark# sel(X1, X2) -> active# sel(mark X1, mark X2), mark# tail X -> mark# X, mark# tail X -> active# tail mark X, mark# take(X1, X2) -> mark# X1, mark# take(X1, X2) -> mark# X2, mark# take(X1, X2) -> active# take(mark X1, mark X2), active# U12(tt(), N, XS) -> mark# snd splitAt(N, XS), active# U11(tt(), N, XS) -> mark# U12(tt(), N, XS), active# snd pair(X, Y) -> mark# U51(tt(), Y), active# splitAt(s N, cons(X, XS)) -> mark# U61(tt(), N, X, XS), active# splitAt(0(), XS) -> mark# pair(nil(), XS), active# U22(tt(), X) -> mark# X, active# U21(tt(), X) -> mark# U22(tt(), X), active# U32(tt(), N) -> mark# N, active# U31(tt(), N) -> mark# U32(tt(), N), active# U42(tt(), N, XS) -> mark# head afterNth(N, XS), active# U41(tt(), N, XS) -> mark# U42(tt(), N, XS), active# head cons(N, XS) -> mark# U31(tt(), N), active# afterNth(N, XS) -> mark# U11(tt(), N, XS), active# U52(tt(), Y) -> mark# Y, active# U51(tt(), Y) -> mark# U52(tt(), Y), active# U62(tt(), N, X, XS) -> mark# U63(tt(), N, X, XS), active# U61(tt(), N, X, XS) -> mark# U62(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# U72(tt(), XS) -> mark# XS, active# U71(tt(), XS) -> mark# U72(tt(), XS), active# U82(tt(), N, XS) -> mark# fst splitAt(N, XS), active# U81(tt(), N, XS) -> mark# U82(tt(), N, XS), active# fst pair(X, Y) -> mark# U21(tt(), X), active# natsFrom N -> mark# cons(N, natsFrom s N), active# sel(N, XS) -> mark# U41(tt(), N, XS), active# tail cons(N, XS) -> mark# U71(tt(), XS), active# take(N, XS) -> mark# U81(tt(), N, XS)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } Fail SCC (4): Strict: { take#(X1, mark X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2), take#(active X1, X2) -> take#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [take#](x0, x1) = x0 Strict: take#(active X1, X2) -> take#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 take#(mark X1, X2) -> take#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 take#(X1, active X2) -> take#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 take#(X1, mark X2) -> take#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { take#(X1, mark X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)} SCC (3): Strict: { take#(X1, mark X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [take#](x0, x1) = x0 Strict: take#(mark X1, X2) -> take#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 take#(X1, active X2) -> take#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 take#(X1, mark X2) -> take#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { take#(X1, mark X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2)} SCC (2): Strict: { take#(X1, mark X2) -> take#(X1, X2), take#(X1, active X2) -> take#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [take#](x0, x1) = x0 Strict: take#(X1, active X2) -> take#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 take#(X1, mark X2) -> take#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {take#(X1, mark X2) -> take#(X1, X2)} SCC (1): Strict: {take#(X1, mark X2) -> take#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [take#](x0, x1) = x0 Strict: take#(X1, mark X2) -> take#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { tail# mark X -> tail# X, tail# active X -> tail# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [tail#](x0) = x0 Strict: tail# active X -> tail# X 1 + 1X >= 0 + 1X tail# mark X -> tail# X 0 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {tail# mark X -> tail# X} SCC (1): Strict: {tail# mark X -> tail# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [tail#](x0) = x0 Strict: tail# mark X -> tail# X 1 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(active X1, X2) -> sel#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [sel#](x0, x1) = x0 Strict: sel#(active X1, X2) -> sel#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 sel#(mark X1, X2) -> sel#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 sel#(X1, active X2) -> sel#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 sel#(X1, mark X2) -> sel#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)} SCC (3): Strict: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [sel#](x0, x1) = x0 Strict: sel#(mark X1, X2) -> sel#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 sel#(X1, active X2) -> sel#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 sel#(X1, mark X2) -> sel#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2)} SCC (2): Strict: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(X1, active X2) -> sel#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [sel#](x0, x1) = x0 Strict: sel#(X1, active X2) -> sel#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 sel#(X1, mark X2) -> sel#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {sel#(X1, mark X2) -> sel#(X1, X2)} SCC (1): Strict: {sel#(X1, mark X2) -> sel#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [sel#](x0, x1) = x0 Strict: sel#(X1, mark X2) -> sel#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { natsFrom# mark X -> natsFrom# X, natsFrom# active X -> natsFrom# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [natsFrom#](x0) = x0 Strict: natsFrom# active X -> natsFrom# X 1 + 1X >= 0 + 1X natsFrom# mark X -> natsFrom# X 0 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {natsFrom# mark X -> natsFrom# X} SCC (1): Strict: {natsFrom# mark X -> natsFrom# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [natsFrom#](x0) = x0 Strict: natsFrom# mark X -> natsFrom# X 1 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { s# mark X -> s# X, s# active X -> s# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [s#](x0) = x0 Strict: s# active X -> s# X 1 + 1X >= 0 + 1X s# mark X -> s# X 0 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {s# mark X -> s# X} SCC (1): Strict: {s# mark X -> s# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [s#](x0) = x0 Strict: s# mark X -> s# X 1 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { fst# mark X -> fst# X, fst# active X -> fst# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [fst#](x0) = x0 Strict: fst# active X -> fst# X 1 + 1X >= 0 + 1X fst# mark X -> fst# X 0 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {fst# mark X -> fst# X} SCC (1): Strict: {fst# mark X -> fst# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [fst#](x0) = x0 Strict: fst# mark X -> fst# X 1 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (6): Strict: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3), U81#(X1, active X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(active X1, X2, X3) -> U81#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U81#](x0, x1, x2) = x0 Strict: U81#(active X1, X2, X3) -> U81#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U81#(mark X1, X2, X3) -> U81#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U81#(X1, active X2, X3) -> U81#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U81#(X1, mark X2, X3) -> U81#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U81#(X1, X2, active X3) -> U81#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U81#(X1, X2, mark X3) -> U81#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3), U81#(X1, active X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)} SCC (5): Strict: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3), U81#(X1, active X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U81#](x0, x1, x2) = x0 Strict: U81#(mark X1, X2, X3) -> U81#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U81#(X1, active X2, X3) -> U81#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U81#(X1, mark X2, X3) -> U81#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U81#(X1, X2, active X3) -> U81#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U81#(X1, X2, mark X3) -> U81#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 1XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)} SCC (4): Strict: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U81#](x0, x1, x2) = x0 Strict: U81#(mark X1, X2, X3) -> U81#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U81#(X1, mark X2, X3) -> U81#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U81#(X1, X2, active X3) -> U81#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U81#(X1, X2, mark X3) -> U81#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3)} SCC (3): Strict: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3), U81#(X1, mark X2, X3) -> U81#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U81#](x0, x1, x2) = x0 Strict: U81#(X1, mark X2, X3) -> U81#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U81#(X1, X2, active X3) -> U81#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U81#(X1, X2, mark X3) -> U81#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3)} SCC (2): Strict: { U81#(X1, X2, mark X3) -> U81#(X1, X2, X3), U81#(X1, X2, active X3) -> U81#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U81#](x0, x1, x2) = x0 Strict: U81#(X1, X2, active X3) -> U81#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U81#(X1, X2, mark X3) -> U81#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U81#(X1, X2, mark X3) -> U81#(X1, X2, X3)} SCC (1): Strict: {U81#(X1, X2, mark X3) -> U81#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U81#](x0, x1, x2) = x0 Strict: U81#(X1, X2, mark X3) -> U81#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (6): Strict: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3), U82#(X1, active X2, X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(active X1, X2, X3) -> U82#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U82#](x0, x1, x2) = x0 Strict: U82#(active X1, X2, X3) -> U82#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U82#(mark X1, X2, X3) -> U82#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U82#(X1, active X2, X3) -> U82#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U82#(X1, mark X2, X3) -> U82#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U82#(X1, X2, active X3) -> U82#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U82#(X1, X2, mark X3) -> U82#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3), U82#(X1, active X2, X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)} SCC (5): Strict: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3), U82#(X1, active X2, X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U82#](x0, x1, x2) = x0 Strict: U82#(mark X1, X2, X3) -> U82#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U82#(X1, active X2, X3) -> U82#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U82#(X1, mark X2, X3) -> U82#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U82#(X1, X2, active X3) -> U82#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U82#(X1, X2, mark X3) -> U82#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 1XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)} SCC (4): Strict: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U82#](x0, x1, x2) = x0 Strict: U82#(mark X1, X2, X3) -> U82#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U82#(X1, mark X2, X3) -> U82#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U82#(X1, X2, active X3) -> U82#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U82#(X1, X2, mark X3) -> U82#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3)} SCC (3): Strict: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3), U82#(X1, mark X2, X3) -> U82#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U82#](x0, x1, x2) = x0 Strict: U82#(X1, mark X2, X3) -> U82#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U82#(X1, X2, active X3) -> U82#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U82#(X1, X2, mark X3) -> U82#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3)} SCC (2): Strict: { U82#(X1, X2, mark X3) -> U82#(X1, X2, X3), U82#(X1, X2, active X3) -> U82#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U82#](x0, x1, x2) = x0 Strict: U82#(X1, X2, active X3) -> U82#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82#(X1, X2, mark X3) -> U82#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U82#(X1, X2, mark X3) -> U82#(X1, X2, X3)} SCC (1): Strict: {U82#(X1, X2, mark X3) -> U82#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U82#](x0, x1, x2) = x0 Strict: U82#(X1, X2, mark X3) -> U82#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { U71#(X1, mark X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2), U71#(active X1, X2) -> U71#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U71#](x0, x1) = x0 Strict: U71#(active X1, X2) -> U71#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U71#(mark X1, X2) -> U71#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U71#(X1, active X2) -> U71#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U71#(X1, mark X2) -> U71#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U71#(X1, mark X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)} SCC (3): Strict: { U71#(X1, mark X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U71#](x0, x1) = x0 Strict: U71#(mark X1, X2) -> U71#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U71#(X1, active X2) -> U71#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U71#(X1, mark X2) -> U71#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U71#(X1, mark X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2)} SCC (2): Strict: { U71#(X1, mark X2) -> U71#(X1, X2), U71#(X1, active X2) -> U71#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U71#](x0, x1) = x0 Strict: U71#(X1, active X2) -> U71#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U71#(X1, mark X2) -> U71#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U71#(X1, mark X2) -> U71#(X1, X2)} SCC (1): Strict: {U71#(X1, mark X2) -> U71#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U71#](x0, x1) = x0 Strict: U71#(X1, mark X2) -> U71#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { U72#(X1, mark X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2), U72#(active X1, X2) -> U72#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U72#](x0, x1) = x0 Strict: U72#(active X1, X2) -> U72#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U72#(mark X1, X2) -> U72#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U72#(X1, active X2) -> U72#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U72#(X1, mark X2) -> U72#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U72#(X1, mark X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)} SCC (3): Strict: { U72#(X1, mark X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U72#](x0, x1) = x0 Strict: U72#(mark X1, X2) -> U72#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U72#(X1, active X2) -> U72#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U72#(X1, mark X2) -> U72#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U72#(X1, mark X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2)} SCC (2): Strict: { U72#(X1, mark X2) -> U72#(X1, X2), U72#(X1, active X2) -> U72#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U72#](x0, x1) = x0 Strict: U72#(X1, active X2) -> U72#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U72#(X1, mark X2) -> U72#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U72#(X1, mark X2) -> U72#(X1, X2)} SCC (1): Strict: {U72#(X1, mark X2) -> U72#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U72#](x0, x1) = x0 Strict: U72#(X1, mark X2) -> U72#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { cons#(X1, mark X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2), cons#(active X1, X2) -> cons#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [cons#](x0, x1) = x0 Strict: cons#(active X1, X2) -> cons#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 cons#(mark X1, X2) -> cons#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 cons#(X1, active X2) -> cons#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 cons#(X1, mark X2) -> cons#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { cons#(X1, mark X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)} SCC (3): Strict: { cons#(X1, mark X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [cons#](x0, x1) = x0 Strict: cons#(mark X1, X2) -> cons#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 cons#(X1, active X2) -> cons#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 cons#(X1, mark X2) -> cons#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { cons#(X1, mark X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2)} SCC (2): Strict: { cons#(X1, mark X2) -> cons#(X1, X2), cons#(X1, active X2) -> cons#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [cons#](x0, x1) = x0 Strict: cons#(X1, active X2) -> cons#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 cons#(X1, mark X2) -> cons#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {cons#(X1, mark X2) -> cons#(X1, X2)} SCC (1): Strict: {cons#(X1, mark X2) -> cons#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [cons#](x0, x1) = x0 Strict: cons#(X1, mark X2) -> cons#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(active X1, X2) -> pair#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [pair#](x0, x1) = x0 Strict: pair#(active X1, X2) -> pair#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 pair#(mark X1, X2) -> pair#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 pair#(X1, active X2) -> pair#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 pair#(X1, mark X2) -> pair#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)} SCC (3): Strict: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [pair#](x0, x1) = x0 Strict: pair#(mark X1, X2) -> pair#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 pair#(X1, active X2) -> pair#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 pair#(X1, mark X2) -> pair#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2)} SCC (2): Strict: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(X1, active X2) -> pair#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [pair#](x0, x1) = x0 Strict: pair#(X1, active X2) -> pair#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 pair#(X1, mark X2) -> pair#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {pair#(X1, mark X2) -> pair#(X1, X2)} SCC (1): Strict: {pair#(X1, mark X2) -> pair#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [pair#](x0, x1) = x0 Strict: pair#(X1, mark X2) -> pair#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { U64#(X1, mark X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2), U64#(active X1, X2) -> U64#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U64#](x0, x1) = x0 Strict: U64#(active X1, X2) -> U64#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U64#(mark X1, X2) -> U64#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U64#(X1, active X2) -> U64#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U64#(X1, mark X2) -> U64#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U64#(X1, mark X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)} SCC (3): Strict: { U64#(X1, mark X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U64#](x0, x1) = x0 Strict: U64#(mark X1, X2) -> U64#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U64#(X1, active X2) -> U64#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U64#(X1, mark X2) -> U64#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U64#(X1, mark X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2)} SCC (2): Strict: { U64#(X1, mark X2) -> U64#(X1, X2), U64#(X1, active X2) -> U64#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U64#](x0, x1) = x0 Strict: U64#(X1, active X2) -> U64#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U64#(X1, mark X2) -> U64#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U64#(X1, mark X2) -> U64#(X1, X2)} SCC (1): Strict: {U64#(X1, mark X2) -> U64#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U64#](x0, x1) = x0 Strict: U64#(X1, mark X2) -> U64#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (8): Strict: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U63#](x0, x1, x2, x3) = x0 Strict: U63#(active X1, X2, X3, X4) -> U63#(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 1N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)} SCC (7): Strict: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U63#](x0, x1, x2, x3) = x0 Strict: U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 0XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 2 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 2 + 1N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4)} SCC (6): Strict: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U63#](x0, x1, x2, x3) = x0 Strict: U63#(X1, active X2, X3, X4) -> U63#(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4)} SCC (5): Strict: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4), U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U63#](x0, x1, x2, x3) = x0 Strict: U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U63#(X1, X2, active X3, X4) -> U63#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 1XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active 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)} SCC (4): Strict: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active 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)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U63#](x0, x1, x2, x3) = x0 Strict: U63#(X1, mark X2, X3, X4) -> U63#(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4)} SCC (3): Strict: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U63#](x0, x1, x2, x3) = x0 Strict: U63#(X1, X2, mark X3, X4) -> U63#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)} SCC (2): Strict: { U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4), U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U63#](x0, x1, x2, x3) = x0 Strict: U63#(X1, X2, X3, active X4) -> U63#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4)} SCC (1): Strict: {U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U63#](x0, x1, x2, x3) = x0 Strict: U63#(X1, X2, X3, mark X4) -> U63#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (8): Strict: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U61#](x0, x1, x2, x3) = x0 Strict: U61#(active X1, X2, X3, X4) -> U61#(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 1N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)} SCC (7): Strict: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U61#](x0, x1, x2, x3) = x0 Strict: U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 0XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 2 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 2 + 1N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4)} SCC (6): Strict: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U61#](x0, x1, x2, x3) = x0 Strict: U61#(X1, active X2, X3, X4) -> U61#(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4)} SCC (5): Strict: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4), U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U61#](x0, x1, x2, x3) = x0 Strict: U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U61#(X1, X2, active X3, X4) -> U61#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 1XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active 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)} SCC (4): Strict: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active 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)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U61#](x0, x1, x2, x3) = x0 Strict: U61#(X1, mark X2, X3, X4) -> U61#(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4)} SCC (3): Strict: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U61#](x0, x1, x2, x3) = x0 Strict: U61#(X1, X2, mark X3, X4) -> U61#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)} SCC (2): Strict: { U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4), U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U61#](x0, x1, x2, x3) = x0 Strict: U61#(X1, X2, X3, active X4) -> U61#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4)} SCC (1): Strict: {U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U61#](x0, x1, x2, x3) = x0 Strict: U61#(X1, X2, X3, mark X4) -> U61#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (8): Strict: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U62#](x0, x1, x2, x3) = x0 Strict: U62#(active X1, X2, X3, X4) -> U62#(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 1N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)} SCC (7): Strict: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U62#](x0, x1, x2, x3) = x0 Strict: U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 0XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 2 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 2 + 1N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4)} SCC (6): Strict: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U62#](x0, x1, x2, x3) = x0 Strict: U62#(X1, active X2, X3, X4) -> U62#(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4)} SCC (5): Strict: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4), U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U62#](x0, x1, x2, x3) = x0 Strict: U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62#(X1, X2, active X3, X4) -> U62#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 1XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active 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)} SCC (4): Strict: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active 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)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U62#](x0, x1, x2, x3) = x0 Strict: U62#(X1, mark X2, X3, X4) -> U62#(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4)} SCC (3): Strict: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U62#](x0, x1, x2, x3) = x0 Strict: U62#(X1, X2, mark X3, X4) -> U62#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)} SCC (2): Strict: { U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4), U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U62#](x0, x1, x2, x3) = x0 Strict: U62#(X1, X2, X3, active X4) -> U62#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4)} SCC (1): Strict: {U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U62#](x0, x1, x2, x3) = x0 Strict: U62#(X1, X2, X3, mark X4) -> U62#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { U51#(X1, mark X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2), U51#(active X1, X2) -> U51#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U51#](x0, x1) = x0 Strict: U51#(active X1, X2) -> U51#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U51#(mark X1, X2) -> U51#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U51#(X1, active X2) -> U51#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U51#(X1, mark X2) -> U51#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U51#(X1, mark X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)} SCC (3): Strict: { U51#(X1, mark X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U51#](x0, x1) = x0 Strict: U51#(mark X1, X2) -> U51#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U51#(X1, active X2) -> U51#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U51#(X1, mark X2) -> U51#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U51#(X1, mark X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2)} SCC (2): Strict: { U51#(X1, mark X2) -> U51#(X1, X2), U51#(X1, active X2) -> U51#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U51#](x0, x1) = x0 Strict: U51#(X1, active X2) -> U51#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U51#(X1, mark X2) -> U51#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U51#(X1, mark X2) -> U51#(X1, X2)} SCC (1): Strict: {U51#(X1, mark X2) -> U51#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U51#](x0, x1) = x0 Strict: U51#(X1, mark X2) -> U51#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { U52#(X1, mark X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2), U52#(active X1, X2) -> U52#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U52#](x0, x1) = x0 Strict: U52#(active X1, X2) -> U52#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U52#(mark X1, X2) -> U52#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U52#(X1, active X2) -> U52#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U52#(X1, mark X2) -> U52#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U52#(X1, mark X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)} SCC (3): Strict: { U52#(X1, mark X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U52#](x0, x1) = x0 Strict: U52#(mark X1, X2) -> U52#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U52#(X1, active X2) -> U52#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U52#(X1, mark X2) -> U52#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U52#(X1, mark X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2)} SCC (2): Strict: { U52#(X1, mark X2) -> U52#(X1, X2), U52#(X1, active X2) -> U52#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U52#](x0, x1) = x0 Strict: U52#(X1, active X2) -> U52#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U52#(X1, mark X2) -> U52#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U52#(X1, mark X2) -> U52#(X1, X2)} SCC (1): Strict: {U52#(X1, mark X2) -> U52#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U52#](x0, x1) = x0 Strict: U52#(X1, mark X2) -> U52#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(active X1, X2) -> afterNth#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [afterNth#](x0, x1) = x0 Strict: afterNth#(active X1, X2) -> afterNth#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 afterNth#(mark X1, X2) -> afterNth#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 afterNth#(X1, active X2) -> afterNth#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 afterNth#(X1, mark X2) -> afterNth#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)} SCC (3): Strict: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [afterNth#](x0, x1) = x0 Strict: afterNth#(mark X1, X2) -> afterNth#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 afterNth#(X1, active X2) -> afterNth#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 afterNth#(X1, mark X2) -> afterNth#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2)} SCC (2): Strict: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(X1, active X2) -> afterNth#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [afterNth#](x0, x1) = x0 Strict: afterNth#(X1, active X2) -> afterNth#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 afterNth#(X1, mark X2) -> afterNth#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {afterNth#(X1, mark X2) -> afterNth#(X1, X2)} SCC (1): Strict: {afterNth#(X1, mark X2) -> afterNth#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [afterNth#](x0, x1) = x0 Strict: afterNth#(X1, mark X2) -> afterNth#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { head# mark X -> head# X, head# active X -> head# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [head#](x0) = x0 Strict: head# active X -> head# X 1 + 1X >= 0 + 1X head# mark X -> head# X 0 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {head# mark X -> head# X} SCC (1): Strict: {head# mark X -> head# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [head#](x0) = x0 Strict: head# mark X -> head# X 1 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (6): Strict: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3), U41#(X1, mark X2, X3) -> U41#(X1, X2, X3), U41#(X1, active X2, X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(active X1, X2, X3) -> U41#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U41#](x0, x1, x2) = x0 Strict: U41#(active X1, X2, X3) -> U41#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U41#(mark X1, X2, X3) -> U41#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U41#(X1, active X2, X3) -> U41#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U41#(X1, mark X2, X3) -> U41#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U41#(X1, X2, active X3) -> U41#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U41#(X1, X2, mark X3) -> U41#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3), U41#(X1, mark X2, X3) -> U41#(X1, X2, X3), U41#(X1, active X2, X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)} SCC (5): Strict: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3), U41#(X1, mark X2, X3) -> U41#(X1, X2, X3), U41#(X1, active X2, X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U41#](x0, x1, x2) = x0 Strict: U41#(mark X1, X2, X3) -> U41#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U41#(X1, active X2, X3) -> U41#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U41#(X1, mark X2, X3) -> U41#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U41#(X1, X2, active X3) -> U41#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U41#(X1, X2, mark X3) -> U41#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 1XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3), U41#(X1, mark X2, X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)} SCC (4): Strict: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3), U41#(X1, mark X2, X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U41#](x0, x1, x2) = x0 Strict: U41#(mark X1, X2, X3) -> U41#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U41#(X1, mark X2, X3) -> U41#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U41#(X1, X2, active X3) -> U41#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U41#(X1, X2, mark X3) -> U41#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3), U41#(X1, mark X2, X3) -> U41#(X1, X2, X3)} SCC (3): Strict: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3), U41#(X1, mark X2, X3) -> U41#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U41#](x0, x1, x2) = x0 Strict: U41#(X1, mark X2, X3) -> U41#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U41#(X1, X2, active X3) -> U41#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U41#(X1, X2, mark X3) -> U41#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3)} SCC (2): Strict: { U41#(X1, X2, mark X3) -> U41#(X1, X2, X3), U41#(X1, X2, active X3) -> U41#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U41#](x0, x1, x2) = x0 Strict: U41#(X1, X2, active X3) -> U41#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U41#(X1, X2, mark X3) -> U41#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U41#(X1, X2, mark X3) -> U41#(X1, X2, X3)} SCC (1): Strict: {U41#(X1, X2, mark X3) -> U41#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U41#](x0, x1, x2) = x0 Strict: U41#(X1, X2, mark X3) -> U41#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (6): Strict: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3), U42#(X1, active X2, X3) -> U42#(X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3), U42#(active X1, X2, X3) -> U42#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U42#](x0, x1, x2) = x0 Strict: U42#(active X1, X2, X3) -> U42#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42#(mark X1, X2, X3) -> U42#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42#(X1, active X2, X3) -> U42#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42#(X1, mark X2, X3) -> U42#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42#(X1, X2, active X3) -> U42#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42#(X1, X2, mark X3) -> U42#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3), U42#(X1, active X2, X3) -> U42#(X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)} SCC (5): Strict: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3), U42#(X1, active X2, X3) -> U42#(X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U42#](x0, x1, x2) = x0 Strict: U42#(mark X1, X2, X3) -> U42#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U42#(X1, active X2, X3) -> U42#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U42#(X1, mark X2, X3) -> U42#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U42#(X1, X2, active X3) -> U42#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U42#(X1, X2, mark X3) -> U42#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 1XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)} SCC (4): Strict: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U42#](x0, x1, x2) = x0 Strict: U42#(mark X1, X2, X3) -> U42#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42#(X1, mark X2, X3) -> U42#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42#(X1, X2, active X3) -> U42#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42#(X1, X2, mark X3) -> U42#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3)} SCC (3): Strict: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3), U42#(X1, mark X2, X3) -> U42#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U42#](x0, x1, x2) = x0 Strict: U42#(X1, mark X2, X3) -> U42#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U42#(X1, X2, active X3) -> U42#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U42#(X1, X2, mark X3) -> U42#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3)} SCC (2): Strict: { U42#(X1, X2, mark X3) -> U42#(X1, X2, X3), U42#(X1, X2, active X3) -> U42#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U42#](x0, x1, x2) = x0 Strict: U42#(X1, X2, active X3) -> U42#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U42#(X1, X2, mark X3) -> U42#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U42#(X1, X2, mark X3) -> U42#(X1, X2, X3)} SCC (1): Strict: {U42#(X1, X2, mark X3) -> U42#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U42#](x0, x1, x2) = x0 Strict: U42#(X1, X2, mark X3) -> U42#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { U31#(X1, mark X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2), U31#(active X1, X2) -> U31#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U31#](x0, x1) = x0 Strict: U31#(active X1, X2) -> U31#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31#(mark X1, X2) -> U31#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31#(X1, active X2) -> U31#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31#(X1, mark X2) -> U31#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U31#(X1, mark X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)} SCC (3): Strict: { U31#(X1, mark X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U31#](x0, x1) = x0 Strict: U31#(mark X1, X2) -> U31#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31#(X1, active X2) -> U31#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31#(X1, mark X2) -> U31#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U31#(X1, mark X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2)} SCC (2): Strict: { U31#(X1, mark X2) -> U31#(X1, X2), U31#(X1, active X2) -> U31#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U31#](x0, x1) = x0 Strict: U31#(X1, active X2) -> U31#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31#(X1, mark X2) -> U31#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U31#(X1, mark X2) -> U31#(X1, X2)} SCC (1): Strict: {U31#(X1, mark X2) -> U31#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U31#](x0, x1) = x0 Strict: U31#(X1, mark X2) -> U31#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { U32#(X1, mark X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2), U32#(active X1, X2) -> U32#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U32#](x0, x1) = x0 Strict: U32#(active X1, X2) -> U32#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32#(mark X1, X2) -> U32#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32#(X1, active X2) -> U32#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32#(X1, mark X2) -> U32#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U32#(X1, mark X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)} SCC (3): Strict: { U32#(X1, mark X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U32#](x0, x1) = x0 Strict: U32#(mark X1, X2) -> U32#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32#(X1, active X2) -> U32#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32#(X1, mark X2) -> U32#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U32#(X1, mark X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2)} SCC (2): Strict: { U32#(X1, mark X2) -> U32#(X1, X2), U32#(X1, active X2) -> U32#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U32#](x0, x1) = x0 Strict: U32#(X1, active X2) -> U32#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U32#(X1, mark X2) -> U32#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U32#(X1, mark X2) -> U32#(X1, X2)} SCC (1): Strict: {U32#(X1, mark X2) -> U32#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U32#](x0, x1) = x0 Strict: U32#(X1, mark X2) -> U32#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { U21#(X1, mark X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2), U21#(active X1, X2) -> U21#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U21#](x0, x1) = x0 Strict: U21#(active X1, X2) -> U21#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U21#(mark X1, X2) -> U21#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U21#(X1, active X2) -> U21#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U21#(X1, mark X2) -> U21#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U21#(X1, mark X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)} SCC (3): Strict: { U21#(X1, mark X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U21#](x0, x1) = x0 Strict: U21#(mark X1, X2) -> U21#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U21#(X1, active X2) -> U21#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U21#(X1, mark X2) -> U21#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U21#(X1, mark X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2)} SCC (2): Strict: { U21#(X1, mark X2) -> U21#(X1, X2), U21#(X1, active X2) -> U21#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U21#](x0, x1) = x0 Strict: U21#(X1, active X2) -> U21#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U21#(X1, mark X2) -> U21#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U21#(X1, mark X2) -> U21#(X1, X2)} SCC (1): Strict: {U21#(X1, mark X2) -> U21#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U21#](x0, x1) = x0 Strict: U21#(X1, mark X2) -> U21#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { U22#(X1, mark X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2), U22#(active X1, X2) -> U22#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U22#](x0, x1) = x0 Strict: U22#(active X1, X2) -> U22#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U22#(mark X1, X2) -> U22#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U22#(X1, active X2) -> U22#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U22#(X1, mark X2) -> U22#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U22#(X1, mark X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)} SCC (3): Strict: { U22#(X1, mark X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U22#](x0, x1) = x0 Strict: U22#(mark X1, X2) -> U22#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U22#(X1, active X2) -> U22#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U22#(X1, mark X2) -> U22#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U22#(X1, mark X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2)} SCC (2): Strict: { U22#(X1, mark X2) -> U22#(X1, X2), U22#(X1, active X2) -> U22#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U22#](x0, x1) = x0 Strict: U22#(X1, active X2) -> U22#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U22#(X1, mark X2) -> U22#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U22#(X1, mark X2) -> U22#(X1, X2)} SCC (1): Strict: {U22#(X1, mark X2) -> U22#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U22#](x0, x1) = x0 Strict: U22#(X1, mark X2) -> U22#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (4): Strict: { splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(active X1, X2) -> splitAt#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [splitAt#](x0, x1) = x0 Strict: splitAt#(active X1, X2) -> splitAt#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 splitAt#(mark X1, X2) -> splitAt#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 splitAt#(X1, active X2) -> splitAt#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 splitAt#(X1, mark X2) -> splitAt#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 1X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 1X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)} SCC (3): Strict: { splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [splitAt#](x0, x1) = x0 Strict: splitAt#(mark X1, X2) -> splitAt#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 splitAt#(X1, active X2) -> splitAt#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 splitAt#(X1, mark X2) -> splitAt#(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2)} SCC (2): Strict: { splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(X1, active X2) -> splitAt#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [splitAt#](x0, x1) = x0 Strict: splitAt#(X1, active X2) -> splitAt#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 splitAt#(X1, mark X2) -> splitAt#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {splitAt#(X1, mark X2) -> splitAt#(X1, X2)} SCC (1): Strict: {splitAt#(X1, mark X2) -> splitAt#(X1, X2)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [splitAt#](x0, x1) = x0 Strict: splitAt#(X1, mark X2) -> splitAt#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { snd# mark X -> snd# X, snd# active X -> snd# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [snd#](x0) = x0 Strict: snd# active X -> snd# X 1 + 1X >= 0 + 1X snd# mark X -> snd# X 0 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {snd# mark X -> snd# X} SCC (1): Strict: {snd# mark X -> snd# X} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [snd#](x0) = x0 Strict: snd# mark X -> snd# X 1 + 1X >= 0 + 1X Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (6): Strict: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3), U11#(X1, mark X2, X3) -> U11#(X1, X2, X3), U11#(X1, active X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(active X1, X2, X3) -> U11#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U11#](x0, x1, x2) = x0 Strict: U11#(active X1, X2, X3) -> U11#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U11#(mark X1, X2, X3) -> U11#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U11#(X1, active X2, X3) -> U11#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U11#(X1, mark X2, X3) -> U11#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U11#(X1, X2, active X3) -> U11#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U11#(X1, X2, mark X3) -> U11#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3), U11#(X1, mark X2, X3) -> U11#(X1, X2, X3), U11#(X1, active X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)} SCC (5): Strict: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3), U11#(X1, mark X2, X3) -> U11#(X1, X2, X3), U11#(X1, active X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U11#](x0, x1, x2) = x0 Strict: U11#(mark X1, X2, X3) -> U11#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U11#(X1, active X2, X3) -> U11#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U11#(X1, mark X2, X3) -> U11#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U11#(X1, X2, active X3) -> U11#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U11#(X1, X2, mark X3) -> U11#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 1XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3), U11#(X1, mark X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)} SCC (4): Strict: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3), U11#(X1, mark X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U11#](x0, x1, x2) = x0 Strict: U11#(mark X1, X2, X3) -> U11#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U11#(X1, mark X2, X3) -> U11#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U11#(X1, X2, active X3) -> U11#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U11#(X1, X2, mark X3) -> U11#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3), U11#(X1, mark X2, X3) -> U11#(X1, X2, X3)} SCC (3): Strict: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3), U11#(X1, mark X2, X3) -> U11#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U11#](x0, x1, x2) = x0 Strict: U11#(X1, mark X2, X3) -> U11#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U11#(X1, X2, active X3) -> U11#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U11#(X1, X2, mark X3) -> U11#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3)} SCC (2): Strict: { U11#(X1, X2, mark X3) -> U11#(X1, X2, X3), U11#(X1, X2, active X3) -> U11#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U11#](x0, x1, x2) = x0 Strict: U11#(X1, X2, active X3) -> U11#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U11#(X1, X2, mark X3) -> U11#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U11#(X1, X2, mark X3) -> U11#(X1, X2, X3)} SCC (1): Strict: {U11#(X1, X2, mark X3) -> U11#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U11#](x0, x1, x2) = x0 Strict: U11#(X1, X2, mark X3) -> U11#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (6): Strict: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(X1, active X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(active X1, X2, X3) -> U12#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U12#](x0, x1, x2) = x0 Strict: U12#(active X1, X2, X3) -> U12#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U12#(mark X1, X2, X3) -> U12#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U12#(X1, active X2, X3) -> U12#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U12#(X1, mark X2, X3) -> U12#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U12#(X1, X2, active X3) -> U12#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U12#(X1, X2, mark X3) -> U12#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(X1, active X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)} SCC (5): Strict: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(X1, active X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U12#](x0, x1, x2) = x0 Strict: U12#(mark X1, X2, X3) -> U12#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U12#(X1, active X2, X3) -> U12#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U12#(X1, mark X2, X3) -> U12#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U12#(X1, X2, active X3) -> U12#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U12#(X1, X2, mark X3) -> U12#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 1XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)} SCC (4): Strict: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U12#](x0, x1, x2) = x0 Strict: U12#(mark X1, X2, X3) -> U12#(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U12#(X1, mark X2, X3) -> U12#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U12#(X1, X2, active X3) -> U12#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U12#(X1, X2, mark X3) -> U12#(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3)} SCC (3): Strict: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3), U12#(X1, mark X2, X3) -> U12#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = 0, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U12#](x0, x1, x2) = x0 Strict: U12#(X1, mark X2, X3) -> U12#(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U12#(X1, X2, active X3) -> U12#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U12#(X1, X2, mark X3) -> U12#(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, active X2) -> take(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 1 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 1N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 1 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3)} SCC (2): Strict: { U12#(X1, X2, mark X3) -> U12#(X1, X2, X3), U12#(X1, X2, active X3) -> U12#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = 0, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = 0, [U11](x0, x1, x2) = 0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 0, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 0, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = x0 + 1, [snd](x0) = 0, [head](x0) = 0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [U12#](x0, x1, x2) = x0 Strict: U12#(X1, X2, active X3) -> U12#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U12#(X1, X2, mark X3) -> U12#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, active X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail active X -> tail X 0 + 0X >= 0 + 0X tail mark X -> tail X 0 + 0X >= 0 + 0X sel(active X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, active X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s active X -> s X 0 + 0X >= 0 + 0X s mark X -> s X 0 + 0X >= 0 + 0X natsFrom active X -> natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> natsFrom X 0 + 0X >= 0 + 0X fst active X -> fst X 0 + 0X >= 0 + 0X fst mark X -> fst X 0 + 0X >= 0 + 0X U81(active X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(active X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, active X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(X1, mark X2) -> U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(active X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, active X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(X1, mark X2) -> U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(active X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, active X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(active X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, active X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(X1, mark X2) -> U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(active X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, active X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(X1, mark X2) -> U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(active X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, active X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(X1, mark X2) -> U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(active X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, active X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head active X -> head X 0 + 0X >= 0 + 0X head mark X -> head X 0 + 0X >= 0 + 0X U41(active X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(active X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, active X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(X1, mark X2) -> U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(active X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, active X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(X1, mark X2) -> U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(active X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, active X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(X1, mark X2) -> U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(active X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, active X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(X1, mark X2) -> U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(active X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, active X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 snd active X -> snd X 0 + 0X >= 0 + 0X snd mark X -> snd X 0 + 0X >= 0 + 0X U11(active X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 0 + 0XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 0X + 0Y >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U32(tt(), N) -> mark N 1 + 0N >= 0 + 1N active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U22(tt(), X) -> mark X 1 + 0X >= 0 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 mark take(X1, X2) -> active take(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark tail X -> active tail mark X 0 + 0X >= 1 + 0X mark 0() -> active 0() 0 >= 1 mark nil() -> active nil() 0 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark s X -> active s mark X 0 + 0X >= 1 + 0X mark natsFrom X -> active natsFrom mark X 0 + 0X >= 1 + 0X mark fst X -> active fst mark X 0 + 0X >= 1 + 0X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U71(X1, X2) -> active U71(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U72(X1, X2) -> active U72(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark cons(X1, X2) -> active cons(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U64(X1, X2) -> active U64(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 mark U51(X1, X2) -> active U51(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U52(X1, X2) -> active U52(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark head X -> active head mark X 0 + 0X >= 1 + 0X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark U31(X1, X2) -> active U31(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U32(X1, X2) -> active U32(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U21(X1, X2) -> active U21(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark U22(X1, X2) -> active U22(mark X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 mark snd X -> active snd mark X 0 + 0X >= 1 + 0X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 mark tt() -> active tt() 0 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {U12#(X1, X2, mark X3) -> U12#(X1, X2, X3)} SCC (1): Strict: {U12#(X1, X2, mark X3) -> U12#(X1, X2, X3)} Weak: { mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3), mark tt() -> active tt(), mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3), mark snd X -> active snd mark X, mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2), mark U22(X1, X2) -> active U22(mark X1, X2), mark U21(X1, X2) -> active U21(mark X1, X2), mark U32(X1, X2) -> active U32(mark X1, X2), mark U31(X1, X2) -> active U31(mark X1, X2), mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3), mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3), mark head X -> active head mark X, mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2), mark U52(X1, X2) -> active U52(mark X1, X2), mark U51(X1, X2) -> active U51(mark X1, X2), mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4), mark U61(X1, X2, X3, X4) -> active U61(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 U72(X1, X2) -> active U72(mark X1, X2), mark U71(X1, X2) -> active U71(mark X1, X2), mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3), mark U81(X1, X2, X3) -> active U81(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 nil() -> active nil(), mark 0() -> active 0(), mark tail X -> active tail mark X, mark take(X1, X2) -> active take(mark X1, mark X2), U12(X1, X2, mark X3) -> U12(X1, X2, X3), U12(X1, X2, active X3) -> U12(X1, X2, X3), U12(X1, mark X2, X3) -> U12(X1, X2, X3), U12(X1, active X2, X3) -> U12(X1, X2, X3), U12(mark X1, X2, X3) -> U12(X1, X2, X3), U12(active X1, X2, X3) -> U12(X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(tt(), X) -> mark X, active U21(tt(), X) -> mark U22(tt(), X), active U32(tt(), N) -> mark N, active U31(tt(), N) -> mark U32(tt(), N), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active U52(tt(), Y) -> mark Y, active U51(tt(), Y) -> mark U52(tt(), Y), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(tt(), N, X, XS) -> mark U62(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 U72(tt(), XS) -> mark XS, active U71(tt(), XS) -> mark U72(tt(), XS), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active sel(N, XS) -> mark U41(tt(), N, XS), active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), U11(X1, X2, mark X3) -> U11(X1, X2, X3), U11(X1, X2, active X3) -> U11(X1, X2, X3), U11(X1, mark X2, X3) -> U11(X1, X2, X3), U11(X1, active X2, X3) -> U11(X1, X2, X3), U11(mark X1, X2, X3) -> U11(X1, X2, X3), U11(active X1, X2, X3) -> U11(X1, X2, X3), snd mark X -> snd X, snd active X -> snd X, splitAt(X1, mark X2) -> splitAt(X1, X2), splitAt(X1, active X2) -> splitAt(X1, X2), splitAt(mark X1, X2) -> splitAt(X1, X2), splitAt(active X1, X2) -> splitAt(X1, X2), U22(X1, mark X2) -> U22(X1, X2), U22(X1, active X2) -> U22(X1, X2), U22(mark X1, X2) -> U22(X1, X2), U22(active X1, X2) -> U22(X1, X2), U21(X1, mark X2) -> U21(X1, X2), U21(X1, active X2) -> U21(X1, X2), U21(mark X1, X2) -> U21(X1, X2), U21(active X1, X2) -> U21(X1, X2), U32(X1, mark X2) -> U32(X1, X2), U32(X1, active X2) -> U32(X1, X2), U32(mark X1, X2) -> U32(X1, X2), U32(active X1, X2) -> U32(X1, X2), U31(X1, mark X2) -> U31(X1, X2), U31(X1, active X2) -> U31(X1, X2), U31(mark X1, X2) -> U31(X1, X2), U31(active X1, X2) -> U31(X1, X2), U42(X1, X2, mark X3) -> U42(X1, X2, X3), U42(X1, X2, active X3) -> U42(X1, X2, X3), U42(X1, mark X2, X3) -> U42(X1, X2, X3), U42(X1, active X2, X3) -> U42(X1, X2, X3), U42(mark X1, X2, X3) -> U42(X1, X2, X3), U42(active X1, X2, X3) -> U42(X1, X2, X3), U41(X1, X2, mark X3) -> U41(X1, X2, X3), U41(X1, X2, active X3) -> U41(X1, X2, X3), U41(X1, mark X2, X3) -> U41(X1, X2, X3), U41(X1, active X2, X3) -> U41(X1, X2, X3), U41(mark X1, X2, X3) -> U41(X1, X2, X3), U41(active X1, X2, X3) -> U41(X1, X2, X3), head mark X -> head X, head active X -> head X, afterNth(X1, mark X2) -> afterNth(X1, X2), afterNth(X1, active X2) -> afterNth(X1, X2), afterNth(mark X1, X2) -> afterNth(X1, X2), afterNth(active X1, X2) -> afterNth(X1, X2), U52(X1, mark X2) -> U52(X1, X2), U52(X1, active X2) -> U52(X1, X2), U52(mark X1, X2) -> U52(X1, X2), U52(active X1, X2) -> U52(X1, X2), U51(X1, mark X2) -> U51(X1, X2), U51(X1, active X2) -> U51(X1, X2), U51(mark X1, X2) -> U51(X1, X2), U51(active X1, X2) -> U51(X1, X2), U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4), U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4), U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4), U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4), U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4), U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4), U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4), U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4), U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4), U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4), U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4), U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4), U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4), U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4), U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4), U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4), U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4), U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4), U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4), U64(X1, mark X2) -> U64(X1, X2), U64(X1, active X2) -> U64(X1, X2), U64(mark X1, X2) -> U64(X1, X2), U64(active X1, X2) -> U64(X1, X2), pair(X1, mark X2) -> pair(X1, X2), pair(X1, active X2) -> pair(X1, X2), pair(mark X1, X2) -> pair(X1, X2), pair(active X1, X2) -> pair(X1, X2), cons(X1, mark X2) -> cons(X1, X2), cons(X1, active X2) -> cons(X1, X2), cons(mark X1, X2) -> cons(X1, X2), cons(active X1, X2) -> cons(X1, X2), U72(X1, mark X2) -> U72(X1, X2), U72(X1, active X2) -> U72(X1, X2), U72(mark X1, X2) -> U72(X1, X2), U72(active X1, X2) -> U72(X1, X2), U71(X1, mark X2) -> U71(X1, X2), U71(X1, active X2) -> U71(X1, X2), U71(mark X1, X2) -> U71(X1, X2), U71(active X1, X2) -> U71(X1, X2), U82(X1, X2, mark X3) -> U82(X1, X2, X3), U82(X1, X2, active X3) -> U82(X1, X2, X3), U82(X1, mark X2, X3) -> U82(X1, X2, X3), U82(X1, active X2, X3) -> U82(X1, X2, X3), U82(mark X1, X2, X3) -> U82(X1, X2, X3), U82(active X1, X2, X3) -> U82(X1, X2, X3), U81(X1, X2, mark X3) -> U81(X1, X2, X3), U81(X1, X2, active X3) -> U81(X1, X2, X3), U81(X1, mark X2, X3) -> U81(X1, X2, X3), U81(X1, active X2, X3) -> U81(X1, X2, X3), U81(mark X1, X2, X3) -> U81(X1, X2, X3), U81(active X1, X2, X3) -> U81(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(X1, mark X2) -> sel(X1, X2), sel(X1, active X2) -> sel(X1, X2), sel(mark X1, X2) -> sel(X1, X2), sel(active X1, X2) -> sel(X1, X2), tail mark X -> tail X, tail active X -> tail X, take(X1, mark X2) -> take(X1, X2), take(X1, active X2) -> take(X1, X2), take(mark X1, X2) -> take(X1, X2), take(active X1, X2) -> take(X1, X2) } POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + 1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = x0 + 1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [tt] = 1, [nil] = 1, [0] = 1, [U12#](x0, x1, x2) = x0 Strict: U12#(X1, X2, mark X3) -> U12#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: take(active X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(mark X1, X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, active X2) -> take(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 take(X1, mark X2) -> take(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 tail active X -> tail X 1 + 1X >= 1 + 1X tail mark X -> tail X 2 + 1X >= 1 + 1X sel(active X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(mark X1, X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, active X2) -> sel(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 sel(X1, mark X2) -> sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 s active X -> s X 1 + 1X >= 1 + 1X s mark X -> s X 2 + 1X >= 1 + 1X natsFrom active X -> natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> natsFrom X 2 + 1X >= 1 + 1X fst active X -> fst X 1 + 1X >= 1 + 1X fst mark X -> fst X 2 + 1X >= 1 + 1X U81(active X1, X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, active X2, X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, mark X2, X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, active X3) -> U81(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(X1, X2, mark X3) -> U81(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(active X1, X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, active X2, X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, mark X2, X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, active X3) -> U82(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(X1, X2, mark X3) -> U82(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U71(active X1, X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, active X2) -> U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(X1, mark X2) -> U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(active X1, X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, active X2) -> U72(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(X1, mark X2) -> U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(active X1, X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> cons(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, active X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(X1, mark X2) -> cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(active X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(mark X1, X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, active X2) -> pair(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 pair(X1, mark X2) -> pair(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 U64(active X1, X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, active X2) -> U64(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(X1, mark X2) -> U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U63(active X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, active X2, X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, mark X2, X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, active X3, X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, mark X3, X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, active X4) -> U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(X1, X2, X3, mark X4) -> U63(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(active X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, active X2, X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, mark X2, X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, active X3, X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, mark X3, X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, active X4) -> U61(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(X1, X2, X3, mark X4) -> U61(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(active X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, active X2, X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, mark X2, X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, active X3, X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, mark X3, X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, active X4) -> U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(X1, X2, X3, mark X4) -> U62(X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(active X1, X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, active X2) -> U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(X1, mark X2) -> U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(active X1, X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, active X2) -> U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(X1, mark X2) -> U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(active X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(mark X1, X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, active X2) -> afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 afterNth(X1, mark X2) -> afterNth(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 head active X -> head X 1 + 1X >= 1 + 1X head mark X -> head X 2 + 1X >= 1 + 1X U41(active X1, X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, active X2, X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, mark X2, X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, active X3) -> U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(X1, X2, mark X3) -> U41(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(active X1, X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, active X2, X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, mark X2, X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, active X3) -> U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(X1, X2, mark X3) -> U42(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(active X1, X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, active X2) -> U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(X1, mark X2) -> U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(active X1, X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, active X2) -> U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(X1, mark X2) -> U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(active X1, X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, active X2) -> U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(X1, mark X2) -> U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(active X1, X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, active X2) -> U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(X1, mark X2) -> U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(active X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(mark X1, X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, active X2) -> splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 splitAt(X1, mark X2) -> splitAt(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 snd active X -> snd X 1 + 1X >= 1 + 1X snd mark X -> snd X 2 + 1X >= 1 + 1X U11(active X1, X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, active X2, X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, mark X2, X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, active X3) -> U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(X1, X2, mark X3) -> U11(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(N, XS) -> mark U81(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 1N + 0XS >= 3 + 1XS active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 1Y >= 3 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 1XS >= 3 + 1XS active U72(tt(), XS) -> mark XS 2 + 1XS >= 1 + 1XS active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 1X + 0YS + 1ZS >= 2 + 0X + 0YS + 1ZS active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 2 + 1N + 1XS + 1X >= 3 + 0N + 1XS + 1X active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 1N + 1XS + 1X >= 3 + 1N + 1XS + 1X active U51(tt(), Y) -> mark U52(tt(), Y) 2 + 1Y >= 3 + 1Y active U52(tt(), Y) -> mark Y 2 + 1Y >= 1 + 1Y active afterNth(N, XS) -> mark U11(tt(), N, XS) 1 + 0N + 1XS >= 3 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 1N + 0XS >= 3 + 1N active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS active U31(tt(), N) -> mark U32(tt(), N) 2 + 1N >= 3 + 1N active U32(tt(), N) -> mark N 2 + 1N >= 1 + 1N active U21(tt(), X) -> mark U22(tt(), X) 2 + 1X >= 3 + 1X active U22(tt(), X) -> mark X 2 + 1X >= 1 + 1X active splitAt(0(), XS) -> mark pair(nil(), XS) 1 + 1XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 1X >= 3 + 1N + 1XS + 1X active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 1Y >= 3 + 1Y active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 1N + 1XS >= 3 + 1N + 1XS active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 1XS U12(active X1, X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, active X2, X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, mark X2, X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, active X3) -> U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(X1, X2, mark X3) -> U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 mark take(X1, X2) -> active take(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark tail X -> active tail mark X 2 + 1X >= 2 + 1X mark 0() -> active 0() 2 >= 1 mark nil() -> active nil() 2 >= 1 mark sel(X1, X2) -> active sel(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark s X -> active s mark X 2 + 1X >= 2 + 1X mark natsFrom X -> active natsFrom mark X 2 + 1X >= 2 + 1X mark fst X -> active fst mark X 2 + 1X >= 2 + 1X mark U81(X1, X2, X3) -> active U81(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U82(X1, X2, X3) -> active U82(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U71(X1, X2) -> active U71(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U72(X1, X2) -> active U72(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark cons(X1, X2) -> active cons(mark X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 mark pair(X1, X2) -> active pair(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark U64(X1, X2) -> active U64(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U63(X1, X2, X3, X4) -> active U63(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U61(X1, X2, X3, X4) -> active U61(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U62(X1, X2, X3, X4) -> active U62(mark X1, X2, X3, X4) 2 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 mark U51(X1, X2) -> active U51(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U52(X1, X2) -> active U52(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark afterNth(X1, X2) -> active afterNth(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark head X -> active head mark X 2 + 1X >= 2 + 1X mark U41(X1, X2, X3) -> active U41(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U42(X1, X2, X3) -> active U42(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark U31(X1, X2) -> active U31(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U32(X1, X2) -> active U32(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U21(X1, X2) -> active U21(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark U22(X1, X2) -> active U22(mark X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 mark splitAt(X1, X2) -> active splitAt(mark X1, mark X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 mark snd X -> active snd mark X 2 + 1X >= 2 + 1X mark U11(X1, X2, X3) -> active U11(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 mark tt() -> active tt() 2 >= 1 mark U12(X1, X2, X3) -> active U12(mark X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed