MAYBE Time: 51.732788 TRS: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} DP: DP: { U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3), active# U12(X1, X2, X3) -> U12#(active X1, X2, X3), active# U12(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS), active# U12(tt(), N, XS) -> splitAt#(N, XS), active# U11(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3), active# U11(tt(), N, XS) -> U12#(tt(), N, XS), active# snd X -> active# X, active# snd X -> snd# active X, active# snd pair(X, Y) -> U51#(tt(), Y), active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2), active# splitAt(X1, X2) -> splitAt#(active X1, X2), active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), active# splitAt(0(), XS) -> pair#(nil(), XS), active# U22(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2), active# U21(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2), active# U21(tt(), X) -> U22#(tt(), X), active# U32(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2), active# U31(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2), active# U31(tt(), N) -> U32#(tt(), N), active# U42(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3), active# U42(tt(), N, XS) -> head# afterNth(N, XS), active# U42(tt(), N, XS) -> afterNth#(N, XS), active# U41(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3), active# U41(tt(), N, XS) -> U42#(tt(), N, XS), active# head X -> active# X, active# head X -> head# active X, active# head cons(N, XS) -> U31#(tt(), N), active# afterNth(N, XS) -> U11#(tt(), N, XS), active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2), active# afterNth(X1, X2) -> afterNth#(active X1, X2), active# U52(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2), active# U51(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2), active# U51(tt(), Y) -> U52#(tt(), Y), active# U62(X1, X2, X3, X4) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4), active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), active# U61(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4), active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), active# U63(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4), active# U63(tt(), N, X, XS) -> splitAt#(N, XS), active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X), active# U64(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2), active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), active# U64(pair(YS, ZS), X) -> cons#(X, YS), active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2), active# pair(X1, X2) -> pair#(active X1, X2), active# cons(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2), active# U72(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2), active# U71(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2), active# U71(tt(), XS) -> U72#(tt(), XS), active# U82(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3), active# U82(tt(), N, XS) -> splitAt#(N, XS), active# U82(tt(), N, XS) -> fst# splitAt(N, XS), active# U81(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3), active# U81(tt(), N, XS) -> U82#(tt(), N, XS), active# fst X -> active# X, active# fst X -> fst# active X, active# fst pair(X, Y) -> U21#(tt(), X), active# natsFrom N -> cons#(N, natsFrom s N), active# natsFrom N -> natsFrom# s N, active# natsFrom N -> s# N, active# natsFrom X -> active# X, active# natsFrom X -> natsFrom# active X, active# s X -> active# X, active# s X -> s# active X, active# sel(N, XS) -> U41#(tt(), N, XS), active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2), active# sel(X1, X2) -> sel#(active X1, X2), active# tail X -> active# X, active# tail X -> tail# active X, active# tail cons(N, XS) -> U71#(tt(), XS), active# take(N, XS) -> U81#(tt(), N, XS), active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2, active# take(X1, X2) -> take#(X1, active X2), active# take(X1, X2) -> take#(active X1, X2), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), snd# mark X -> snd# X, snd# ok X -> snd# X, splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3), U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3), head# mark X -> head# X, head# ok X -> head# X, afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4), U64#(mark X1, X2) -> U64#(X1, X2), U64#(ok X1, ok X2) -> U64#(X1, X2), pair#(X1, mark X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2), U72#(ok X1, ok X2) -> U72#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3), fst# mark X -> fst# X, fst# ok X -> fst# X, natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X, s# mark X -> s# X, s# ok X -> s# X, sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2), tail# mark X -> tail# X, tail# ok X -> tail# X, take#(X1, mark X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2), take#(ok X1, ok X2) -> take#(X1, X2), proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3), proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3), proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2), proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2), proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2), proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2), proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2), proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3), proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3), proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X, proper# head X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2), proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2), proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2), proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4), proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4), proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4), proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> U64#(proper X1, proper X2), proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2), proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2), proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2), proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2), proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3), proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3), proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X, proper# fst X -> proper# X, proper# natsFrom X -> natsFrom# proper X, proper# natsFrom X -> proper# X, proper# s X -> s# proper X, proper# s X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2), proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2, proper# tail X -> tail# proper X, proper# tail X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2), proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2, top# mark X -> proper# X, top# mark X -> top# proper X, top# ok X -> active# X, top# ok X -> top# active X } TRS: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} UR: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), a(x, y) -> x, a(x, y) -> y} EDG: { (proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3)) (proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U11(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U11(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U11(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U11(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U11(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U11(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U11(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U11(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# natsFrom N -> s# N) (active# U11(X1, X2, X3) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U11(X1, X2, X3) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U11(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U11(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U11(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U11(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U11(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U11(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U11(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U11(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U11(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U11(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U11(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U11(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U11(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U11(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U11(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U11(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U11(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U22(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U22(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U22(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U22(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U22(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U22(X1, X2) -> active# X1, active# tail X -> active# X) (active# U22(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U22(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U22(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U22(X1, X2) -> active# X1, active# s X -> s# active X) (active# U22(X1, X2) -> active# X1, active# s X -> active# X) (active# U22(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U22(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U22(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# U22(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U22(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U22(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U22(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U22(X1, X2) -> active# X1, active# fst X -> active# X) (active# U22(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U22(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U22(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U22(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U22(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U22(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U22(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U22(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U22(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U22(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U22(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U22(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U22(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U22(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U22(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U22(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U22(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U22(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U22(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U22(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U22(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U22(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U22(X1, X2) -> active# X1, active# head X -> head# active X) (active# U22(X1, X2) -> active# X1, active# head X -> active# X) (active# U22(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U22(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U22(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U22(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U22(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U22(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U22(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U22(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U22(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U22(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U22(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U22(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U22(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U22(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U22(X1, X2) -> active# X1, active# snd X -> active# X) (active# U22(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U22(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U22(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U22(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U22(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U22(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U32(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U32(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U32(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U32(X1, X2) -> active# X1, active# tail X -> active# X) (active# U32(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U32(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U32(X1, X2) -> active# X1, active# s X -> s# active X) (active# U32(X1, X2) -> active# X1, active# s X -> active# X) (active# U32(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U32(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U32(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# U32(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U32(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U32(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U32(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U32(X1, X2) -> active# X1, active# fst X -> active# X) (active# U32(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U32(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U32(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U32(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U32(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U32(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U32(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U32(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U32(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U32(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U32(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U32(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U32(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U32(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U32(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U32(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U32(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U32(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U32(X1, X2) -> active# X1, active# head X -> head# active X) (active# U32(X1, X2) -> active# X1, active# head X -> active# X) (active# U32(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U32(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U32(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U32(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U32(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U32(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U32(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U32(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U32(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U32(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U32(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U32(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U32(X1, X2) -> active# X1, active# snd X -> active# X) (active# U32(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U32(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U32(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U32(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U32(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U32(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U42(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U42(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U42(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U42(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U42(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U42(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U42(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U42(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U42(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U42(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U42(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U42(X1, X2, X3) -> active# X1, active# natsFrom N -> s# N) (active# U42(X1, X2, X3) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U42(X1, X2, X3) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U42(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U42(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U42(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U42(X1, X2, X3) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U42(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U42(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U42(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U42(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U42(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U42(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U42(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U42(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U42(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U42(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U42(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U42(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U42(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U42(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U42(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U42(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U42(X1, X2, X3) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U42(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U42(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U42(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U42(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U42(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U42(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U42(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U42(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U42(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U42(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U42(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U42(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U42(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U42(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# afterNth(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# afterNth(X1, X2) -> active# X1, active# tail X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X1, active# s X -> s# active X) (active# afterNth(X1, X2) -> active# X1, active# s X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# afterNth(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# afterNth(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# afterNth(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# afterNth(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# afterNth(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# afterNth(X1, X2) -> active# X1, active# fst X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# afterNth(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# afterNth(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# afterNth(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# afterNth(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# afterNth(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# afterNth(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# afterNth(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# afterNth(X1, X2) -> active# X1, active# head X -> head# active X) (active# afterNth(X1, X2) -> active# X1, active# head X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# afterNth(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# afterNth(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# afterNth(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# afterNth(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# afterNth(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# afterNth(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# afterNth(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# afterNth(X1, X2) -> active# X1, active# snd X -> active# X) (active# afterNth(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# afterNth(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U51(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U51(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U51(X1, X2) -> active# X1, active# tail X -> active# X) (active# U51(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U51(X1, X2) -> active# X1, active# s X -> s# active X) (active# U51(X1, X2) -> active# X1, active# s X -> active# X) (active# U51(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U51(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U51(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# U51(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U51(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U51(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U51(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U51(X1, X2) -> active# X1, active# fst X -> active# X) (active# U51(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U51(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U51(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U51(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U51(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U51(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U51(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U51(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U51(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U51(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U51(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U51(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U51(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U51(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U51(X1, X2) -> active# X1, active# head X -> head# active X) (active# U51(X1, X2) -> active# X1, active# head X -> active# X) (active# U51(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U51(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U51(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U51(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U51(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U51(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U51(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U51(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U51(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U51(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U51(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U51(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U51(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U51(X1, X2) -> active# X1, active# snd X -> active# X) (active# U51(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U51(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U51(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U51(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U51(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U51(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U61(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X2) (active# U61(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# tail X -> tail# active X) (active# U61(X1, X2, X3, X4) -> active# X1, active# tail X -> active# X) (active# U61(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U61(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# s X -> s# active X) (active# U61(X1, X2, X3, X4) -> active# X1, active# s X -> active# X) (active# U61(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U61(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> active# X) (active# U61(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> s# N) (active# U61(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U61(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U61(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U61(X1, X2, X3, X4) -> active# X1, active# fst X -> fst# active X) (active# U61(X1, X2, X3, X4) -> active# X1, active# fst X -> active# X) (active# U61(X1, X2, X3, X4) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U61(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U61(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U61(X1, X2, X3, X4) -> active# X1, active# head X -> head# active X) (active# U61(X1, X2, X3, X4) -> active# X1, active# head X -> active# X) (active# U61(X1, X2, X3, X4) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U61(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U61(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U61(X1, X2, X3, X4) -> active# X1, active# snd X -> snd# active X) (active# U61(X1, X2, X3, X4) -> active# X1, active# snd X -> active# X) (active# U61(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U61(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U61(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U64(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U64(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U64(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U64(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U64(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U64(X1, X2) -> active# X1, active# tail X -> active# X) (active# U64(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U64(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U64(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U64(X1, X2) -> active# X1, active# s X -> s# active X) (active# U64(X1, X2) -> active# X1, active# s X -> active# X) (active# U64(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U64(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U64(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# U64(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U64(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U64(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U64(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U64(X1, X2) -> active# X1, active# fst X -> active# X) (active# U64(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U64(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U64(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U64(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U64(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U64(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U64(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U64(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U64(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U64(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U64(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U64(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U64(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U64(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U64(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U64(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U64(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U64(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U64(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U64(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U64(X1, X2) -> active# X1, active# head X -> head# active X) (active# U64(X1, X2) -> active# X1, active# head X -> active# X) (active# U64(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U64(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U64(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U64(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U64(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U64(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U64(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U64(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U64(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U64(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U64(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U64(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U64(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U64(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U64(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U64(X1, X2) -> active# X1, active# snd X -> active# X) (active# U64(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U64(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U64(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U64(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U64(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U64(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# cons(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# cons(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# cons(X1, X2) -> active# X1, active# tail X -> active# X) (active# cons(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# cons(X1, X2) -> active# X1, active# s X -> s# active X) (active# cons(X1, X2) -> active# X1, active# s X -> active# X) (active# cons(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# cons(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# cons(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# cons(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# cons(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# cons(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# cons(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# cons(X1, X2) -> active# X1, active# fst X -> active# X) (active# cons(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# cons(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# cons(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# cons(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# cons(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# cons(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# cons(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# cons(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# cons(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# cons(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# cons(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# cons(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# cons(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# cons(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# cons(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# cons(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# cons(X1, X2) -> active# X1, active# head X -> head# active X) (active# cons(X1, X2) -> active# X1, active# head X -> active# X) (active# cons(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# cons(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# cons(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# cons(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# cons(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# cons(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# cons(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# cons(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# cons(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# cons(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# cons(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# cons(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# cons(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# cons(X1, X2) -> active# X1, active# snd X -> active# X) (active# cons(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# cons(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# cons(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# cons(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# cons(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# cons(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U71(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U71(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U71(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U71(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U71(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U71(X1, X2) -> active# X1, active# tail X -> active# X) (active# U71(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U71(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U71(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U71(X1, X2) -> active# X1, active# s X -> s# active X) (active# U71(X1, X2) -> active# X1, active# s X -> active# X) (active# U71(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U71(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U71(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# U71(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U71(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U71(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U71(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U71(X1, X2) -> active# X1, active# fst X -> active# X) (active# U71(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U71(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U71(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U71(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U71(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U71(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U71(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U71(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U71(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U71(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U71(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U71(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U71(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U71(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U71(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U71(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U71(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U71(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U71(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U71(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U71(X1, X2) -> active# X1, active# head X -> head# active X) (active# U71(X1, X2) -> active# X1, active# head X -> active# X) (active# U71(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U71(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U71(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U71(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U71(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U71(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U71(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U71(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U71(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U71(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U71(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U71(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U71(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U71(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U71(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U71(X1, X2) -> active# X1, active# snd X -> active# X) (active# U71(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U71(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U71(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U71(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U71(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U71(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U81(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U81(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U81(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U81(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U81(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U81(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U81(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U81(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U81(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U81(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U81(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U81(X1, X2, X3) -> active# X1, active# natsFrom N -> s# N) (active# U81(X1, X2, X3) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U81(X1, X2, X3) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U81(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U81(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U81(X1, X2, X3) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U81(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U81(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U81(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U81(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U81(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U81(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U81(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U81(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U81(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U81(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U81(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U81(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U81(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U81(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U81(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U81(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U81(X1, X2, X3) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U81(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U81(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U81(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U81(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U81(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U81(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U81(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U81(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U81(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U81(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U81(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U81(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U81(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U81(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U81(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# take(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# take(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# take(X1, X2) -> active# X1, active# tail X -> active# X) (active# take(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# take(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# take(X1, X2) -> active# X1, active# s X -> s# active X) (active# take(X1, X2) -> active# X1, active# s X -> active# X) (active# take(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# take(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# take(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# take(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# take(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# take(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# take(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# take(X1, X2) -> active# X1, active# fst X -> active# X) (active# take(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# take(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# take(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# take(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# take(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# take(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# take(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# take(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# take(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# take(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# take(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# take(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# take(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# take(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# take(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# take(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# take(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# take(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# take(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# take(X1, X2) -> active# X1, active# head X -> head# active X) (active# take(X1, X2) -> active# X1, active# head X -> active# X) (active# take(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# take(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# take(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# take(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# take(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# take(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# take(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# take(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# take(X1, X2) -> active# X1, active# snd X -> active# X) (active# take(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# take(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# take(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# take(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U22(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U22(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U22(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U22(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U32(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U32(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U32(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U32(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U32(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U42(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U42(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U42(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U42(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U42(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U42(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U51(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U51(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U51(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U51(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# tail X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# tail X -> tail# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# s X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# s X -> s# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# fst X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# fst X -> fst# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# head X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# head X -> head# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# snd X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# snd X -> snd# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U64(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U64(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U64(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U64(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U64(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U64(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U64(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U64(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U64(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U64(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U64(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U64(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U64(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U64(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U64(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U64(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U64(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U64(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U64(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U64(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U64(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# cons(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# cons(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# cons(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U71(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U71(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U71(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U81(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U81(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U81(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U81(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U81(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# take(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# take(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# take(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# take(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4), U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4)) (active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(ok X1, ok X2, ok X3, ok 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)) (U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(ok X1, ok X2, ok X3, ok 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)) (U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(ok X1, ok X2, ok X3, ok 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)) (active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4)) (active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (active# head cons(N, XS) -> U31#(tt(), N), U31#(ok X1, ok X2) -> U31#(X1, X2)) (active# head cons(N, XS) -> U31#(tt(), N), U31#(mark X1, X2) -> U31#(X1, X2)) (active# head X -> head# active X, head# ok X -> head# X) (active# head X -> head# active X, head# mark X -> head# X) (active# natsFrom X -> natsFrom# active X, natsFrom# ok X -> natsFrom# X) (active# natsFrom X -> natsFrom# active X, natsFrom# mark X -> natsFrom# X) (active# tail X -> tail# active X, tail# ok X -> tail# X) (active# tail X -> tail# active X, tail# mark X -> tail# X) (proper# head X -> head# proper X, head# ok X -> head# X) (proper# head X -> head# proper X, head# mark X -> head# X) (proper# natsFrom X -> natsFrom# proper X, natsFrom# ok X -> natsFrom# X) (proper# natsFrom X -> natsFrom# proper X, natsFrom# mark X -> natsFrom# X) (proper# tail X -> tail# proper X, tail# ok X -> tail# X) (proper# tail X -> tail# proper X, tail# mark X -> tail# X) (top# ok X -> top# active X, top# ok X -> top# active X) (top# ok X -> top# active X, top# ok X -> active# X) (top# ok X -> top# active X, top# mark X -> top# proper X) (top# ok X -> top# active X, top# mark X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# tail X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# tail X -> tail# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# s X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# s X -> s# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> natsFrom# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# fst X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# fst X -> fst# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U72(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U72(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# head X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# head X -> head# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# snd X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# snd X -> snd# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# tail X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# tail X -> tail# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# s X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# s X -> s# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> natsFrom# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# fst X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# fst X -> fst# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U72(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U72(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# head X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# head X -> head# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# snd X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# snd X -> snd# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4), U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4)) (proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (active# splitAt(0(), XS) -> pair#(nil(), XS), pair#(ok X1, ok X2) -> pair#(X1, X2)) (active# splitAt(0(), XS) -> pair#(nil(), XS), pair#(mark X1, X2) -> pair#(X1, X2)) (active# splitAt(0(), XS) -> pair#(nil(), XS), pair#(X1, mark X2) -> pair#(X1, X2)) (active# tail cons(N, XS) -> U71#(tt(), XS), U71#(ok X1, ok X2) -> U71#(X1, X2)) (active# tail cons(N, XS) -> U71#(tt(), XS), U71#(mark X1, X2) -> U71#(X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# take(X1, X2) -> take#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# take(X1, X2) -> take#(X1, active X2)) (active# afterNth(X1, X2) -> active# X2, active# take(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X2, active# take(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> U81#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# afterNth(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# afterNth(X1, X2) -> active# X2, active# tail X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# s X -> s# active X) (active# afterNth(X1, X2) -> active# X2, active# s X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# natsFrom X -> natsFrom# active X) (active# afterNth(X1, X2) -> active# X2, active# natsFrom X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# natsFrom N -> s# N) (active# afterNth(X1, X2) -> active# X2, active# natsFrom N -> natsFrom# s N) (active# afterNth(X1, X2) -> active# X2, active# natsFrom N -> cons#(N, natsFrom s N)) (active# afterNth(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(tt(), X)) (active# afterNth(X1, X2) -> active# X2, active# fst X -> fst# active X) (active# afterNth(X1, X2) -> active# X2, active# fst X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# afterNth(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U72(X1, X2) -> U72#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U72(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2)) (active# afterNth(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# afterNth(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# afterNth(X1, X2) -> active# X2, active# U64(X1, X2) -> U64#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U64(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# afterNth(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# afterNth(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# afterNth(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# afterNth(X1, X2) -> active# X2, active# U51(X1, X2) -> U51#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U51(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> U52#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# afterNth(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(tt(), N)) (active# afterNth(X1, X2) -> active# X2, active# head X -> head# active X) (active# afterNth(X1, X2) -> active# X2, active# head X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U31(tt(), N) -> U32#(tt(), N)) (active# afterNth(X1, X2) -> active# X2, active# U31(X1, X2) -> U31#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U31(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U32(X1, X2) -> U32#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U32(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U21(tt(), X) -> U22#(tt(), X)) (active# afterNth(X1, X2) -> active# X2, active# U21(X1, X2) -> U21#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# afterNth(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# afterNth(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# afterNth(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# afterNth(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# afterNth(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# afterNth(X1, X2) -> active# X2, active# snd X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# afterNth(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# take(X1, X2) -> take#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# take(X1, X2) -> take#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# take(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# take(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# take(N, XS) -> U81#(tt(), N, XS)) (active# sel(X1, X2) -> active# X2, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# sel(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# sel(X1, X2) -> active# X2, active# tail X -> active# X) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# sel(X1, X2) -> active# X2, active# s X -> s# active X) (active# sel(X1, X2) -> active# X2, active# s X -> active# X) (active# sel(X1, X2) -> active# X2, active# natsFrom X -> natsFrom# active X) (active# sel(X1, X2) -> active# X2, active# natsFrom X -> active# X) (active# sel(X1, X2) -> active# X2, active# natsFrom N -> s# N) (active# sel(X1, X2) -> active# X2, active# natsFrom N -> natsFrom# s N) (active# sel(X1, X2) -> active# X2, active# natsFrom N -> cons#(N, natsFrom s N)) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(tt(), X)) (active# sel(X1, X2) -> active# X2, active# fst X -> fst# active X) (active# sel(X1, X2) -> active# X2, active# fst X -> active# X) (active# sel(X1, X2) -> active# X2, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# sel(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# sel(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# sel(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U72(X1, X2) -> U72#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U72(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# sel(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# sel(X1, X2) -> active# X2, active# U64(X1, X2) -> U64#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U64(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# sel(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# sel(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# sel(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# sel(X1, X2) -> active# X2, active# U51(X1, X2) -> U51#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U51(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U52(X1, X2) -> U52#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# sel(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(tt(), N)) (active# sel(X1, X2) -> active# X2, active# head X -> head# active X) (active# sel(X1, X2) -> active# X2, active# head X -> active# X) (active# sel(X1, X2) -> active# X2, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# sel(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# sel(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# sel(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U31(tt(), N) -> U32#(tt(), N)) (active# sel(X1, X2) -> active# X2, active# U31(X1, X2) -> U31#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U31(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U32(X1, X2) -> U32#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U32(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U21(tt(), X) -> U22#(tt(), X)) (active# sel(X1, X2) -> active# X2, active# U21(X1, X2) -> U21#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# sel(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# sel(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# sel(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X2, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# sel(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# sel(X1, X2) -> active# X2, active# snd X -> active# X) (active# sel(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# sel(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# sel(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U21(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U21(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U21(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U31(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U31(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U31(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U31(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U41(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U52(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U52(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U52(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U52(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U52(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U52(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U52(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U52(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U52(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U52(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# tail X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# tail X -> tail# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# s X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# s X -> s# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# fst X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# fst X -> fst# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# head X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# head X -> head# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# snd X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# snd X -> snd# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# tail X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# tail X -> tail# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# s X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# s X -> s# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# fst X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# fst X -> fst# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# head X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# head X -> head# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# snd X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# snd X -> snd# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# pair(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# pair(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# pair(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# pair(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U72(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U72(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U72(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U72(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U72(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U72(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U72(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U72(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U72(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U72(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U72(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U72(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U72(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U72(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U72(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U72(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U72(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U72(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U72(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U72(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U72(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U82(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U82(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U82(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U82(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U82(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U82(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# sel(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# sel(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# sel(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (active# U12(tt(), N, XS) -> snd# splitAt(N, XS), snd# ok X -> snd# X) (active# U12(tt(), N, XS) -> snd# splitAt(N, XS), snd# mark X -> snd# X) (active# U82(tt(), N, XS) -> fst# splitAt(N, XS), fst# ok X -> fst# X) (active# U82(tt(), N, XS) -> fst# splitAt(N, XS), fst# mark X -> fst# X) (active# head X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# head X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# head X -> active# X, active# take(X1, X2) -> active# X2) (active# head X -> active# X, active# take(X1, X2) -> active# X1) (active# head X -> active# X, active# take(N, XS) -> U81#(tt(), N, XS)) (active# head X -> active# X, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# head X -> active# X, active# tail X -> tail# active X) (active# head X -> active# X, active# tail X -> active# X) (active# head X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# head X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# head X -> active# X, active# sel(X1, X2) -> active# X2) (active# head X -> active# X, active# sel(X1, X2) -> active# X1) (active# head X -> active# X, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# head X -> active# X, active# s X -> s# active X) (active# head X -> active# X, active# s X -> active# X) (active# head X -> active# X, active# natsFrom X -> natsFrom# active X) (active# head X -> active# X, active# natsFrom X -> active# X) (active# head X -> active# X, active# natsFrom N -> s# N) (active# head X -> active# X, active# natsFrom N -> natsFrom# s N) (active# head X -> active# X, active# natsFrom N -> cons#(N, natsFrom s N)) (active# head X -> active# X, active# fst pair(X, Y) -> U21#(tt(), X)) (active# head X -> active# X, active# fst X -> fst# active X) (active# head X -> active# X, active# fst X -> active# X) (active# head X -> active# X, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# head X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# head X -> active# X, active# U81(X1, X2, X3) -> active# X1) (active# head X -> active# X, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# head X -> active# X, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# head X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# head X -> active# X, active# U82(X1, X2, X3) -> active# X1) (active# head X -> active# X, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# head X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (active# head X -> active# X, active# U71(X1, X2) -> active# X1) (active# head X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2)) (active# head X -> active# X, active# U72(X1, X2) -> active# X1) (active# head X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# head X -> active# X, active# cons(X1, X2) -> active# X1) (active# head X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# head X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# head X -> active# X, active# pair(X1, X2) -> active# X2) (active# head X -> active# X, active# pair(X1, X2) -> active# X1) (active# head X -> active# X, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# head X -> active# X, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# head X -> active# X, active# U64(X1, X2) -> U64#(active X1, X2)) (active# head X -> active# X, active# U64(X1, X2) -> active# X1) (active# head X -> active# X, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# head X -> active# X, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# head X -> active# X, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# head X -> active# X, active# U63(X1, X2, X3, X4) -> active# X1) (active# head X -> active# X, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# head X -> active# X, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# head X -> active# X, active# U61(X1, X2, X3, X4) -> active# X1) (active# head X -> active# X, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# head X -> active# X, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# head X -> active# X, active# U62(X1, X2, X3, X4) -> active# X1) (active# head X -> active# X, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# head X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (active# head X -> active# X, active# U51(X1, X2) -> active# X1) (active# head X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (active# head X -> active# X, active# U52(X1, X2) -> active# X1) (active# head X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# head X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# head X -> active# X, active# afterNth(X1, X2) -> active# X2) (active# head X -> active# X, active# afterNth(X1, X2) -> active# X1) (active# head X -> active# X, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# head X -> active# X, active# head cons(N, XS) -> U31#(tt(), N)) (active# head X -> active# X, active# head X -> head# active X) (active# head X -> active# X, active# head X -> active# X) (active# head X -> active# X, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# head X -> active# X, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# head X -> active# X, active# U41(X1, X2, X3) -> active# X1) (active# head X -> active# X, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# head X -> active# X, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# head X -> active# X, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# head X -> active# X, active# U42(X1, X2, X3) -> active# X1) (active# head X -> active# X, active# U31(tt(), N) -> U32#(tt(), N)) (active# head X -> active# X, active# U31(X1, X2) -> U31#(active X1, X2)) (active# head X -> active# X, active# U31(X1, X2) -> active# X1) (active# head X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (active# head X -> active# X, active# U32(X1, X2) -> active# X1) (active# head X -> active# X, active# U21(tt(), X) -> U22#(tt(), X)) (active# head X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2)) (active# head X -> active# X, active# U21(X1, X2) -> active# X1) (active# head X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (active# head X -> active# X, active# U22(X1, X2) -> active# X1) (active# head X -> active# X, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# head X -> active# X, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# head X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# head X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# head X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# head X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# head X -> active# X, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# head X -> active# X, active# snd X -> snd# active X) (active# head X -> active# X, active# snd X -> active# X) (active# head X -> active# X, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# head X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# head X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# head X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# head X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# head X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# head X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# natsFrom X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# natsFrom X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# natsFrom X -> active# X, active# take(X1, X2) -> active# X2) (active# natsFrom X -> active# X, active# take(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# take(N, XS) -> U81#(tt(), N, XS)) (active# natsFrom X -> active# X, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# natsFrom X -> active# X, active# tail X -> tail# active X) (active# natsFrom X -> active# X, active# tail X -> active# X) (active# natsFrom X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# natsFrom X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# natsFrom X -> active# X, active# sel(X1, X2) -> active# X2) (active# natsFrom X -> active# X, active# sel(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# natsFrom X -> active# X, active# s X -> s# active X) (active# natsFrom X -> active# X, active# s X -> active# X) (active# natsFrom X -> active# X, active# natsFrom X -> natsFrom# active X) (active# natsFrom X -> active# X, active# natsFrom X -> active# X) (active# natsFrom X -> active# X, active# natsFrom N -> s# N) (active# natsFrom X -> active# X, active# natsFrom N -> natsFrom# s N) (active# natsFrom X -> active# X, active# natsFrom N -> cons#(N, natsFrom s N)) (active# natsFrom X -> active# X, active# fst pair(X, Y) -> U21#(tt(), X)) (active# natsFrom X -> active# X, active# fst X -> fst# active X) (active# natsFrom X -> active# X, active# fst X -> active# X) (active# natsFrom X -> active# X, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# natsFrom X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# natsFrom X -> active# X, active# U81(X1, X2, X3) -> active# X1) (active# natsFrom X -> active# X, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# natsFrom X -> active# X, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# natsFrom X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# natsFrom X -> active# X, active# U82(X1, X2, X3) -> active# X1) (active# natsFrom X -> active# X, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# natsFrom X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (active# natsFrom X -> active# X, active# U71(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2)) (active# natsFrom X -> active# X, active# U72(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# natsFrom X -> active# X, active# cons(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# natsFrom X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# natsFrom X -> active# X, active# pair(X1, X2) -> active# X2) (active# natsFrom X -> active# X, active# pair(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# natsFrom X -> active# X, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# natsFrom X -> active# X, active# U64(X1, X2) -> U64#(active X1, X2)) (active# natsFrom X -> active# X, active# U64(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# natsFrom X -> active# X, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# natsFrom X -> active# X, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# natsFrom X -> active# X, active# U63(X1, X2, X3, X4) -> active# X1) (active# natsFrom X -> active# X, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# natsFrom X -> active# X, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# natsFrom X -> active# X, active# U61(X1, X2, X3, X4) -> active# X1) (active# natsFrom X -> active# X, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# natsFrom X -> active# X, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# natsFrom X -> active# X, active# U62(X1, X2, X3, X4) -> active# X1) (active# natsFrom X -> active# X, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# natsFrom X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (active# natsFrom X -> active# X, active# U51(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (active# natsFrom X -> active# X, active# U52(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# natsFrom X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# natsFrom X -> active# X, active# afterNth(X1, X2) -> active# X2) (active# natsFrom X -> active# X, active# afterNth(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# natsFrom X -> active# X, active# head cons(N, XS) -> U31#(tt(), N)) (active# natsFrom X -> active# X, active# head X -> head# active X) (active# natsFrom X -> active# X, active# head X -> active# X) (active# natsFrom X -> active# X, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# natsFrom X -> active# X, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# natsFrom X -> active# X, active# U41(X1, X2, X3) -> active# X1) (active# natsFrom X -> active# X, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# natsFrom X -> active# X, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# natsFrom X -> active# X, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# natsFrom X -> active# X, active# U42(X1, X2, X3) -> active# X1) (active# natsFrom X -> active# X, active# U31(tt(), N) -> U32#(tt(), N)) (active# natsFrom X -> active# X, active# U31(X1, X2) -> U31#(active X1, X2)) (active# natsFrom X -> active# X, active# U31(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (active# natsFrom X -> active# X, active# U32(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# U21(tt(), X) -> U22#(tt(), X)) (active# natsFrom X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2)) (active# natsFrom X -> active# X, active# U21(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (active# natsFrom X -> active# X, active# U22(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# natsFrom X -> active# X, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# natsFrom X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# natsFrom X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# natsFrom X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# natsFrom X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# natsFrom X -> active# X, active# snd X -> snd# active X) (active# natsFrom X -> active# X, active# snd X -> active# X) (active# natsFrom X -> active# X, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# natsFrom X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# natsFrom X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# natsFrom X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# natsFrom X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# natsFrom X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# natsFrom X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# tail X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# tail X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# tail X -> active# X, active# take(X1, X2) -> active# X2) (active# tail X -> active# X, active# take(X1, X2) -> active# X1) (active# tail X -> active# X, active# take(N, XS) -> U81#(tt(), N, XS)) (active# tail X -> active# X, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# tail X -> active# X, active# tail X -> tail# active X) (active# tail X -> active# X, active# tail X -> active# X) (active# tail X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# tail X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# tail X -> active# X, active# sel(X1, X2) -> active# X2) (active# tail X -> active# X, active# sel(X1, X2) -> active# X1) (active# tail X -> active# X, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# tail X -> active# X, active# s X -> s# active X) (active# tail X -> active# X, active# s X -> active# X) (active# tail X -> active# X, active# natsFrom X -> natsFrom# active X) (active# tail X -> active# X, active# natsFrom X -> active# X) (active# tail X -> active# X, active# natsFrom N -> s# N) (active# tail X -> active# X, active# natsFrom N -> natsFrom# s N) (active# tail X -> active# X, active# natsFrom N -> cons#(N, natsFrom s N)) (active# tail X -> active# X, active# fst pair(X, Y) -> U21#(tt(), X)) (active# tail X -> active# X, active# fst X -> fst# active X) (active# tail X -> active# X, active# fst X -> active# X) (active# tail X -> active# X, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# tail X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# tail X -> active# X, active# U81(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# tail X -> active# X, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# tail X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# tail X -> active# X, active# U82(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# tail X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (active# tail X -> active# X, active# U71(X1, X2) -> active# X1) (active# tail X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2)) (active# tail X -> active# X, active# U72(X1, X2) -> active# X1) (active# tail X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# tail X -> active# X, active# cons(X1, X2) -> active# X1) (active# tail X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# tail X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# tail X -> active# X, active# pair(X1, X2) -> active# X2) (active# tail X -> active# X, active# pair(X1, X2) -> active# X1) (active# tail X -> active# X, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# tail X -> active# X, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# tail X -> active# X, active# U64(X1, X2) -> U64#(active X1, X2)) (active# tail X -> active# X, active# U64(X1, X2) -> active# X1) (active# tail X -> active# X, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# tail X -> active# X, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# tail X -> active# X, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# tail X -> active# X, active# U63(X1, X2, X3, X4) -> active# X1) (active# tail X -> active# X, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# tail X -> active# X, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# tail X -> active# X, active# U61(X1, X2, X3, X4) -> active# X1) (active# tail X -> active# X, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# tail X -> active# X, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# tail X -> active# X, active# U62(X1, X2, X3, X4) -> active# X1) (active# tail X -> active# X, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# tail X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (active# tail X -> active# X, active# U51(X1, X2) -> active# X1) (active# tail X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (active# tail X -> active# X, active# U52(X1, X2) -> active# X1) (active# tail X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# tail X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# tail X -> active# X, active# afterNth(X1, X2) -> active# X2) (active# tail X -> active# X, active# afterNth(X1, X2) -> active# X1) (active# tail X -> active# X, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# tail X -> active# X, active# head cons(N, XS) -> U31#(tt(), N)) (active# tail X -> active# X, active# head X -> head# active X) (active# tail X -> active# X, active# head X -> active# X) (active# tail X -> active# X, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# tail X -> active# X, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# tail X -> active# X, active# U41(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# tail X -> active# X, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# tail X -> active# X, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# tail X -> active# X, active# U42(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U31(tt(), N) -> U32#(tt(), N)) (active# tail X -> active# X, active# U31(X1, X2) -> U31#(active X1, X2)) (active# tail X -> active# X, active# U31(X1, X2) -> active# X1) (active# tail X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (active# tail X -> active# X, active# U32(X1, X2) -> active# X1) (active# tail X -> active# X, active# U21(tt(), X) -> U22#(tt(), X)) (active# tail X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2)) (active# tail X -> active# X, active# U21(X1, X2) -> active# X1) (active# tail X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (active# tail X -> active# X, active# U22(X1, X2) -> active# X1) (active# tail X -> active# X, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# tail X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# tail X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# tail X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# tail X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# tail X -> active# X, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# tail X -> active# X, active# snd X -> snd# active X) (active# tail X -> active# X, active# snd X -> active# X) (active# tail X -> active# X, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# tail X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# tail X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# tail X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# tail X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (snd# ok X -> snd# X, snd# ok X -> snd# X) (snd# ok X -> snd# X, snd# mark X -> snd# X) (head# ok X -> head# X, head# ok X -> head# X) (head# ok X -> head# X, head# mark X -> head# X) (fst# ok X -> fst# X, fst# ok X -> fst# X) (fst# ok X -> fst# X, fst# mark X -> fst# X) (natsFrom# ok X -> natsFrom# X, natsFrom# ok X -> natsFrom# X) (natsFrom# ok X -> natsFrom# X, natsFrom# mark X -> natsFrom# X) (s# ok X -> s# X, s# ok X -> s# X) (s# ok X -> s# X, s# mark X -> s# X) (tail# ok X -> tail# X, tail# ok X -> tail# X) (tail# ok X -> tail# X, tail# mark X -> tail# X) (proper# head X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# head X -> proper# X, proper# tail X -> proper# X) (proper# head X -> proper# X, proper# tail X -> tail# proper X) (proper# head X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# head X -> proper# X, proper# s X -> proper# X) (proper# head X -> proper# X, proper# s X -> s# proper X) (proper# head X -> proper# X, proper# natsFrom X -> proper# X) (proper# head X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# head X -> proper# X, proper# fst X -> proper# X) (proper# head X -> proper# X, proper# fst X -> fst# proper X) (proper# head X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U72(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U72(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# head X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# head X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U64(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U64(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# head X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# head X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# head X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# head X -> proper# X, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# head X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# head X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# head X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# head X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# head X -> proper# X, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# head X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# head X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# head X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# head X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# head X -> proper# X, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# head X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# head X -> proper# X, proper# head X -> proper# X) (proper# head X -> proper# X, proper# head X -> head# proper X) (proper# head X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U42(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U42(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U42(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# head X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# head X -> proper# X, proper# snd X -> proper# X) (proper# head X -> proper# X, proper# snd X -> snd# proper X) (proper# head X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# head X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# tail X -> proper# X) (proper# natsFrom X -> proper# X, proper# tail X -> tail# proper X) (proper# natsFrom X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# s X -> proper# X) (proper# natsFrom X -> proper# X, proper# s X -> s# proper X) (proper# natsFrom X -> proper# X, proper# natsFrom X -> proper# X) (proper# natsFrom X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# natsFrom X -> proper# X, proper# fst X -> proper# X) (proper# natsFrom X -> proper# X, proper# fst X -> fst# proper X) (proper# natsFrom X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U72(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U72(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U64(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U64(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# natsFrom X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# natsFrom X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# natsFrom X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# natsFrom X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# natsFrom X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# natsFrom X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# head X -> proper# X) (proper# natsFrom X -> proper# X, proper# head X -> head# proper X) (proper# natsFrom X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U42(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U42(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U42(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# snd X -> proper# X) (proper# natsFrom X -> proper# X, proper# snd X -> snd# proper X) (proper# natsFrom X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# natsFrom X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# tail X -> proper# X) (proper# tail X -> proper# X, proper# tail X -> tail# proper X) (proper# tail X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# s X -> proper# X) (proper# tail X -> proper# X, proper# s X -> s# proper X) (proper# tail X -> proper# X, proper# natsFrom X -> proper# X) (proper# tail X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# tail X -> proper# X, proper# fst X -> proper# X) (proper# tail X -> proper# X, proper# fst X -> fst# proper X) (proper# tail X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U72(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U72(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U64(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U64(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# tail X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# tail X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# tail X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# tail X -> proper# X, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# tail X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# tail X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# tail X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# tail X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# tail X -> proper# X, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# tail X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# tail X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# tail X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# tail X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# tail X -> proper# X, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# tail X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# head X -> proper# X) (proper# tail X -> proper# X, proper# head X -> head# proper X) (proper# tail X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U42(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U42(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U42(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# snd X -> proper# X) (proper# tail X -> proper# X, proper# snd X -> snd# proper X) (proper# tail X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# tail X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (top# ok X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (top# ok X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (top# ok X -> active# X, active# take(X1, X2) -> active# X2) (top# ok X -> active# X, active# take(X1, X2) -> active# X1) (top# ok X -> active# X, active# take(N, XS) -> U81#(tt(), N, XS)) (top# ok X -> active# X, active# tail cons(N, XS) -> U71#(tt(), XS)) (top# ok X -> active# X, active# tail X -> tail# active X) (top# ok X -> active# X, active# tail X -> active# X) (top# ok X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (top# ok X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (top# ok X -> active# X, active# sel(X1, X2) -> active# X2) (top# ok X -> active# X, active# sel(X1, X2) -> active# X1) (top# ok X -> active# X, active# sel(N, XS) -> U41#(tt(), N, XS)) (top# ok X -> active# X, active# s X -> s# active X) (top# ok X -> active# X, active# s X -> active# X) (top# ok X -> active# X, active# natsFrom X -> natsFrom# active X) (top# ok X -> active# X, active# natsFrom X -> active# X) (top# ok X -> active# X, active# natsFrom N -> s# N) (top# ok X -> active# X, active# natsFrom N -> natsFrom# s N) (top# ok X -> active# X, active# natsFrom N -> cons#(N, natsFrom s N)) (top# ok X -> active# X, active# fst pair(X, Y) -> U21#(tt(), X)) (top# ok X -> active# X, active# fst X -> fst# active X) (top# ok X -> active# X, active# fst X -> active# X) (top# ok X -> active# X, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (top# ok X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (top# ok X -> active# X, active# U81(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (top# ok X -> active# X, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (top# ok X -> active# X, active# U82(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U71(tt(), XS) -> U72#(tt(), XS)) (top# ok X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (top# ok X -> active# X, active# U71(X1, X2) -> active# X1) (top# ok X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2)) (top# ok X -> active# X, active# U72(X1, X2) -> active# X1) (top# ok X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (top# ok X -> active# X, active# cons(X1, X2) -> active# X1) (top# ok X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (top# ok X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (top# ok X -> active# X, active# pair(X1, X2) -> active# X2) (top# ok X -> active# X, active# pair(X1, X2) -> active# X1) (top# ok X -> active# X, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (top# ok X -> active# X, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (top# ok X -> active# X, active# U64(X1, X2) -> U64#(active X1, X2)) (top# ok X -> active# X, active# U64(X1, X2) -> active# X1) (top# ok X -> active# X, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (top# ok X -> active# X, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (top# ok X -> active# X, active# U63(X1, X2, X3, X4) -> active# X1) (top# ok X -> active# X, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (top# ok X -> active# X, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (top# ok X -> active# X, active# U61(X1, X2, X3, X4) -> active# X1) (top# ok X -> active# X, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (top# ok X -> active# X, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (top# ok X -> active# X, active# U62(X1, X2, X3, X4) -> active# X1) (top# ok X -> active# X, active# U51(tt(), Y) -> U52#(tt(), Y)) (top# ok X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (top# ok X -> active# X, active# U51(X1, X2) -> active# X1) (top# ok X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (top# ok X -> active# X, active# U52(X1, X2) -> active# X1) (top# ok X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (top# ok X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (top# ok X -> active# X, active# afterNth(X1, X2) -> active# X2) (top# ok X -> active# X, active# afterNth(X1, X2) -> active# X1) (top# ok X -> active# X, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (top# ok X -> active# X, active# head cons(N, XS) -> U31#(tt(), N)) (top# ok X -> active# X, active# head X -> head# active X) (top# ok X -> active# X, active# head X -> active# X) (top# ok X -> active# X, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (top# ok X -> active# X, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (top# ok X -> active# X, active# U41(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (top# ok X -> active# X, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (top# ok X -> active# X, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (top# ok X -> active# X, active# U42(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U31(tt(), N) -> U32#(tt(), N)) (top# ok X -> active# X, active# U31(X1, X2) -> U31#(active X1, X2)) (top# ok X -> active# X, active# U31(X1, X2) -> active# X1) (top# ok X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (top# ok X -> active# X, active# U32(X1, X2) -> active# X1) (top# ok X -> active# X, active# U21(tt(), X) -> U22#(tt(), X)) (top# ok X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2)) (top# ok X -> active# X, active# U21(X1, X2) -> active# X1) (top# ok X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (top# ok X -> active# X, active# U22(X1, X2) -> active# X1) (top# ok X -> active# X, active# splitAt(0(), XS) -> pair#(nil(), XS)) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (top# ok X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (top# ok X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (top# ok X -> active# X, active# splitAt(X1, X2) -> active# X2) (top# ok X -> active# X, active# splitAt(X1, X2) -> active# X1) (top# ok X -> active# X, active# snd pair(X, Y) -> U51#(tt(), Y)) (top# ok X -> active# X, active# snd X -> snd# active X) (top# ok X -> active# X, active# snd X -> active# X) (top# ok X -> active# X, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (top# ok X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (top# ok X -> active# X, active# U11(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (top# ok X -> active# X, active# U12(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# fst pair(X, Y) -> U21#(tt(), X), U21#(ok X1, ok X2) -> U21#(X1, X2)) (active# fst pair(X, Y) -> U21#(tt(), X), U21#(mark X1, X2) -> U21#(X1, X2)) (active# U22(X1, X2) -> U22#(active X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2)) (active# U22(X1, X2) -> U22#(active X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (active# U32(X1, X2) -> U32#(active X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)) (active# U32(X1, X2) -> U32#(active X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(active X1, X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(active X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(active X1, X2), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (active# U51(X1, X2) -> U51#(active X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2)) (active# U51(X1, X2) -> U51#(active X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (active# pair(X1, X2) -> pair#(active X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2)) (active# pair(X1, X2) -> pair#(active X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)) (active# pair(X1, X2) -> pair#(active X1, X2), pair#(X1, mark X2) -> pair#(X1, X2)) (active# U72(X1, X2) -> U72#(active X1, X2), U72#(ok X1, ok X2) -> U72#(X1, X2)) (active# U72(X1, X2) -> U72#(active X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)) (active# sel(X1, X2) -> sel#(active X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(active X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(active X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok 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#(X1, mark X2) -> splitAt#(X1, X2)) (splitAt#(ok X1, ok X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (splitAt#(ok X1, ok X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (splitAt#(ok X1, ok X2) -> splitAt#(X1, X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (U22#(ok X1, ok X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2)) (U22#(ok X1, ok X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (U21#(ok X1, ok X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)) (U21#(ok X1, ok X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (U32#(ok X1, ok X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)) (U32#(ok X1, ok X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (U31#(ok X1, ok X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)) (U31#(ok X1, ok X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok 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#(X1, mark X2) -> afterNth#(X1, X2)) (U52#(mark X1, X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)) (U52#(mark X1, X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (U51#(mark X1, X2) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2)) (U51#(mark X1, X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (U64#(mark X1, X2) -> U64#(X1, X2), U64#(ok X1, ok X2) -> U64#(X1, X2)) (U64#(mark X1, X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)) (pair#(X1, mark X2) -> pair#(X1, X2), pair#(ok X1, ok 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#(X1, mark X2) -> pair#(X1, X2)) (pair#(ok X1, ok X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2)) (pair#(ok X1, ok X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2)) (pair#(ok X1, ok X2) -> pair#(X1, X2), pair#(X1, mark X2) -> pair#(X1, X2)) (cons#(ok X1, ok X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (cons#(ok X1, ok X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (U72#(ok X1, ok X2) -> U72#(X1, X2), U72#(ok X1, ok X2) -> U72#(X1, X2)) (U72#(ok X1, ok X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)) (U71#(ok X1, ok X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)) (U71#(ok X1, ok X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (sel#(mark X1, X2) -> sel#(X1, X2), sel#(ok X1, ok 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#(X1, mark X2) -> sel#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(ok X1, ok 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#(X1, mark X2) -> take#(X1, X2)) (take#(ok X1, ok X2) -> take#(X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)) (take#(ok X1, ok X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (take#(ok X1, ok X2) -> take#(X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(X1, active X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(X1, active X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(X1, active X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# pair(X1, X2) -> pair#(X1, active X2), pair#(ok X1, ok X2) -> pair#(X1, X2)) (active# pair(X1, X2) -> pair#(X1, active X2), pair#(mark X1, X2) -> pair#(X1, X2)) (active# pair(X1, X2) -> pair#(X1, active X2), pair#(X1, mark X2) -> pair#(X1, X2)) (active# take(X1, X2) -> take#(X1, active X2), take#(ok X1, ok X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(X1, active X2), take#(mark X1, X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(X1, active X2), take#(X1, mark X2) -> take#(X1, X2)) (proper# U22(X1, X2) -> U22#(proper X1, proper X2), U22#(ok X1, ok X2) -> U22#(X1, X2)) (proper# U22(X1, X2) -> U22#(proper X1, proper X2), U22#(mark X1, X2) -> U22#(X1, X2)) (proper# U32(X1, X2) -> U32#(proper X1, proper X2), U32#(ok X1, ok X2) -> U32#(X1, X2)) (proper# U32(X1, X2) -> U32#(proper X1, proper X2), U32#(mark X1, X2) -> U32#(X1, X2)) (proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)) (proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (proper# U51(X1, X2) -> U51#(proper X1, proper X2), U51#(ok X1, ok X2) -> U51#(X1, X2)) (proper# U51(X1, X2) -> U51#(proper X1, proper X2), U51#(mark X1, X2) -> U51#(X1, X2)) (proper# pair(X1, X2) -> pair#(proper X1, proper X2), pair#(ok X1, ok X2) -> pair#(X1, X2)) (proper# pair(X1, X2) -> pair#(proper X1, proper X2), pair#(mark X1, X2) -> pair#(X1, X2)) (proper# pair(X1, X2) -> pair#(proper X1, proper X2), pair#(X1, mark X2) -> pair#(X1, X2)) (proper# U72(X1, X2) -> U72#(proper X1, proper X2), U72#(ok X1, ok X2) -> U72#(X1, X2)) (proper# U72(X1, X2) -> U72#(proper X1, proper X2), U72#(mark X1, X2) -> U72#(X1, X2)) (proper# sel(X1, X2) -> sel#(proper X1, proper X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (proper# sel(X1, X2) -> sel#(proper X1, proper X2), sel#(mark X1, X2) -> sel#(X1, X2)) (proper# sel(X1, X2) -> sel#(proper X1, proper X2), sel#(X1, mark X2) -> sel#(X1, X2)) (active# natsFrom N -> s# N, s# ok X -> s# X) (active# natsFrom N -> s# N, s# mark X -> s# X) (active# U51(tt(), Y) -> U52#(tt(), Y), U52#(ok X1, ok X2) -> U52#(X1, X2)) (active# U51(tt(), Y) -> U52#(tt(), Y), U52#(mark X1, X2) -> U52#(X1, X2)) (active# U42(tt(), N, XS) -> afterNth#(N, XS), afterNth#(ok X1, ok 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, mark X2) -> afterNth#(X1, X2)) (active# U82(tt(), N, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok 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, mark X2) -> splitAt#(X1, X2)) (U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)) (U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (active# U11(X1, X2, X3) -> U11#(active X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (active# U11(X1, X2, X3) -> U11#(active X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (active# U41(X1, X2, X3) -> U41#(active X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (active# U41(X1, X2, X3) -> U41#(active X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (active# U81(X1, X2, X3) -> U81#(active X1, X2, X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3)) (active# U81(X1, X2, X3) -> U81#(active X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)) (U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3), U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3)) (U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)) (U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3)) (U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)) (U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3)) (U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U41(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# tail X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# tail X -> tail# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# s X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# s X -> s# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# fst X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# fst X -> fst# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U72(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U72(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U64(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U64(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# head X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# head X -> head# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# snd X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# snd X -> snd# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U82(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U82(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U82(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U82(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U82(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (active# natsFrom N -> cons#(N, natsFrom s N), cons#(ok X1, ok X2) -> cons#(X1, X2)) (active# natsFrom N -> cons#(N, natsFrom s N), cons#(mark X1, X2) -> cons#(X1, X2)) (active# U11(tt(), N, XS) -> U12#(tt(), N, XS), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)) (active# U11(tt(), N, XS) -> U12#(tt(), N, XS), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (active# afterNth(N, XS) -> U11#(tt(), N, XS), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (active# afterNth(N, XS) -> U11#(tt(), N, XS), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (active# U81(tt(), N, XS) -> U82#(tt(), N, XS), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3)) (active# U81(tt(), N, XS) -> U82#(tt(), N, XS), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)) (active# take(N, XS) -> U81#(tt(), N, XS), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3)) (active# take(N, XS) -> U81#(tt(), N, XS), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)) (active# sel(N, XS) -> U41#(tt(), N, XS), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (active# sel(N, XS) -> U41#(tt(), N, XS), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X), U64#(mark X1, X2) -> U64#(X1, X2)) (active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X), U64#(ok X1, ok X2) -> U64#(X1, X2)) (active# U41(tt(), N, XS) -> U42#(tt(), N, XS), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)) (active# U41(tt(), N, XS) -> U42#(tt(), N, XS), U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3)) (active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(X1, mark X2) -> pair#(X1, X2)) (active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(mark X1, X2) -> pair#(X1, X2)) (active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), pair#(ok X1, ok X2) -> pair#(X1, X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U81(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U81(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U81(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U81(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U81(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# snd X -> snd# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# snd X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# head X -> head# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# head X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U64(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U64(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U72(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U72(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# fst X -> fst# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# fst X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# s X -> s# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# s X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# tail X -> tail# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# tail X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# snd X -> snd# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# snd X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# head X -> head# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# head X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U64(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U64(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U72(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U72(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# fst X -> fst# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# fst X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# s X -> s# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# s X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# tail X -> tail# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# tail X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U42(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U42(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U42(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U42(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U42(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U42(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U12(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U22(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U32(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U42(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U52(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U51(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U64(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U72(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U82(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U12(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)) (U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3)) (U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)) (U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3)) (U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)) (U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)) (U42#(mark X1, X2, X3) -> U42#(X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)) (U42#(mark X1, X2, X3) -> U42#(X1, X2, X3), U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3)) (U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (active# U82(X1, X2, X3) -> U82#(active X1, X2, X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)) (active# U82(X1, X2, X3) -> U82#(active X1, X2, X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3)) (active# U42(X1, X2, X3) -> U42#(active X1, X2, X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)) (active# U42(X1, X2, X3) -> U42#(active X1, X2, X3), U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3)) (active# U12(X1, X2, X3) -> U12#(active X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (active# U12(X1, X2, X3) -> U12#(active X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)) (U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)) (active# U63(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U63(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U63(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U12(tt(), N, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U12(tt(), N, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U12(tt(), N, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# snd pair(X, Y) -> U51#(tt(), Y), U51#(mark X1, X2) -> U51#(X1, X2)) (active# snd pair(X, Y) -> U51#(tt(), Y), U51#(ok X1, ok X2) -> U51#(X1, X2)) (proper# take(X1, X2) -> take#(proper X1, proper X2), take#(X1, mark X2) -> take#(X1, X2)) (proper# take(X1, X2) -> take#(proper X1, proper X2), take#(mark X1, X2) -> take#(X1, X2)) (proper# take(X1, X2) -> take#(proper X1, proper X2), take#(ok X1, ok X2) -> take#(X1, X2)) (proper# U71(X1, X2) -> U71#(proper X1, proper X2), U71#(mark X1, X2) -> U71#(X1, X2)) (proper# U71(X1, X2) -> U71#(proper X1, proper X2), U71#(ok X1, ok X2) -> U71#(X1, X2)) (proper# cons(X1, X2) -> cons#(proper X1, proper X2), cons#(mark X1, X2) -> cons#(X1, X2)) (proper# cons(X1, X2) -> cons#(proper X1, proper X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (proper# U64(X1, X2) -> U64#(proper X1, proper X2), U64#(mark X1, X2) -> U64#(X1, X2)) (proper# U64(X1, X2) -> U64#(proper X1, proper X2), U64#(ok X1, ok X2) -> U64#(X1, X2)) (proper# U52(X1, X2) -> U52#(proper X1, proper X2), U52#(mark X1, X2) -> U52#(X1, X2)) (proper# U52(X1, X2) -> U52#(proper X1, proper X2), U52#(ok X1, ok X2) -> U52#(X1, X2)) (proper# U31(X1, X2) -> U31#(proper X1, proper X2), U31#(mark X1, X2) -> U31#(X1, X2)) (proper# U31(X1, X2) -> U31#(proper X1, proper X2), U31#(ok X1, ok X2) -> U31#(X1, X2)) (proper# U21(X1, X2) -> U21#(proper X1, proper X2), U21#(mark X1, X2) -> U21#(X1, X2)) (proper# U21(X1, X2) -> U21#(proper X1, proper X2), U21#(ok X1, ok X2) -> U21#(X1, X2)) (proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(X1, mark X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(mark X1, X2) -> sel#(X1, X2)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(X1, active X2), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(X1, active X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(X1, active X2), afterNth#(ok X1, ok X2) -> afterNth#(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#(ok X1, ok X2) -> cons#(X1, X2)) (take#(mark X1, X2) -> take#(X1, X2), take#(X1, mark 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#(ok X1, ok X2) -> take#(X1, X2)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(X1, mark X2) -> sel#(X1, X2)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(ok X1, ok 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#(mark X1, X2) -> sel#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)) (U71#(mark X1, X2) -> U71#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)) (U72#(mark X1, X2) -> U72#(X1, X2), U72#(mark X1, X2) -> U72#(X1, X2)) (U72#(mark X1, X2) -> U72#(X1, X2), U72#(ok X1, ok X2) -> U72#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok 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#(mark X1, X2) -> pair#(X1, X2)) (pair#(mark X1, X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2)) (U64#(ok X1, ok X2) -> U64#(X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)) (U64#(ok X1, ok X2) -> U64#(X1, X2), U64#(ok X1, ok X2) -> U64#(X1, X2)) (U51#(ok X1, ok X2) -> U51#(X1, X2), U51#(mark X1, X2) -> U51#(X1, X2)) (U51#(ok X1, ok X2) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2)) (U52#(ok X1, ok X2) -> U52#(X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (U52#(ok X1, ok X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)) (afterNth#(ok X1, ok X2) -> afterNth#(X1, X2), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (afterNth#(ok X1, ok X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (afterNth#(ok X1, ok X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok 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#(mark X1, X2) -> afterNth#(X1, X2)) (afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)) (U31#(mark X1, X2) -> U31#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)) (U32#(mark X1, X2) -> U32#(X1, X2), U32#(mark X1, X2) -> U32#(X1, X2)) (U32#(mark X1, X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)) (U21#(mark X1, X2) -> U21#(X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)) (U22#(mark X1, X2) -> U22#(X1, X2), U22#(mark X1, X2) -> U22#(X1, X2)) (U22#(mark X1, X2) -> U22#(X1, X2), U22#(ok X1, ok 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#(mark X1, X2) -> splitAt#(X1, X2)) (splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# take(X1, X2) -> take#(active X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(active X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (active# take(X1, X2) -> take#(active X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)) (active# U71(X1, X2) -> U71#(active X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (active# U71(X1, X2) -> U71#(active X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)) (active# cons(X1, X2) -> cons#(active X1, X2), cons#(mark X1, X2) -> cons#(X1, X2)) (active# cons(X1, X2) -> cons#(active X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (active# U64(X1, X2) -> U64#(active X1, X2), U64#(mark X1, X2) -> U64#(X1, X2)) (active# U64(X1, X2) -> U64#(active X1, X2), U64#(ok X1, ok X2) -> U64#(X1, X2)) (active# U52(X1, X2) -> U52#(active X1, X2), U52#(mark X1, X2) -> U52#(X1, X2)) (active# U52(X1, X2) -> U52#(active X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)) (active# U31(X1, X2) -> U31#(active X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (active# U31(X1, X2) -> U31#(active X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)) (active# U21(X1, X2) -> U21#(active X1, X2), U21#(mark X1, X2) -> U21#(X1, X2)) (active# U21(X1, X2) -> U21#(active X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(active X1, X2), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(active X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(active X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U21(tt(), X) -> U22#(tt(), X), U22#(mark X1, X2) -> U22#(X1, X2)) (active# U21(tt(), X) -> U22#(tt(), X), U22#(ok X1, ok X2) -> U22#(X1, X2)) (top# mark X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# snd X -> snd# proper X) (top# mark X -> proper# X, proper# snd X -> proper# X) (top# mark X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (top# mark X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U22(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U22(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U21(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U21(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U32(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U32(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U31(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U31(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U42(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U42(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U42(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# head X -> head# proper X) (top# mark X -> proper# X, proper# head X -> proper# X) (top# mark X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (top# mark X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U52(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U52(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U51(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U51(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (top# mark X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X1) (top# mark X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X2) (top# mark X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X3) (top# mark X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X4) (top# mark X -> proper# X, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (top# mark X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X1) (top# mark X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X2) (top# mark X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X3) (top# mark X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X4) (top# mark X -> proper# X, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (top# mark X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X1) (top# mark X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X2) (top# mark X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X3) (top# mark X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X4) (top# mark X -> proper# X, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U64(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U64(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (top# mark X -> proper# X, proper# pair(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# pair(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (top# mark X -> proper# X, proper# cons(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# cons(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U72(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U72(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U71(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U71(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# fst X -> fst# proper X) (top# mark X -> proper# X, proper# fst X -> proper# X) (top# mark X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (top# mark X -> proper# X, proper# natsFrom X -> proper# X) (top# mark X -> proper# X, proper# s X -> s# proper X) (top# mark X -> proper# X, proper# s X -> proper# X) (top# mark X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (top# mark X -> proper# X, proper# sel(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# sel(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# tail X -> tail# proper X) (top# mark X -> proper# X, proper# tail X -> proper# X) (top# mark X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (top# mark X -> proper# X, proper# take(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# snd X -> snd# proper X) (proper# s X -> proper# X, proper# snd X -> proper# X) (proper# s X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# s X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U42(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U42(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U42(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# head X -> head# proper X) (proper# s X -> proper# X, proper# head X -> proper# X) (proper# s X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# s X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# s X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# s X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# s X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# s X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# s X -> proper# X, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# s X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# s X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# s X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# s X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# s X -> proper# X, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# s X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# s X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# s X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# s X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# s X -> proper# X, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U64(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U64(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# s X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# s X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U72(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U72(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# fst X -> fst# proper X) (proper# s X -> proper# X, proper# fst X -> proper# X) (proper# s X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# s X -> proper# X, proper# natsFrom X -> proper# X) (proper# s X -> proper# X, proper# s X -> s# proper X) (proper# s X -> proper# X, proper# s X -> proper# X) (proper# s X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# tail X -> tail# proper X) (proper# s X -> proper# X, proper# tail X -> proper# X) (proper# s X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# s X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# snd X -> snd# proper X) (proper# fst X -> proper# X, proper# snd X -> proper# X) (proper# fst X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U42(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U42(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U42(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# head X -> head# proper X) (proper# fst X -> proper# X, proper# head X -> proper# X) (proper# fst X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# fst X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# fst X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# fst X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# fst X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# fst X -> proper# X, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# fst X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# fst X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# fst X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# fst X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# fst X -> proper# X, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# fst X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# fst X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# fst X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# fst X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# fst X -> proper# X, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U64(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U64(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U72(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U72(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# fst X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1) (proper# fst X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2) (proper# fst X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3) (proper# fst X -> proper# X, proper# fst X -> fst# proper X) (proper# fst X -> proper# X, proper# fst X -> proper# X) (proper# fst X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# fst X -> proper# X, proper# natsFrom X -> proper# X) (proper# fst X -> proper# X, proper# s X -> s# proper X) (proper# fst X -> proper# X, proper# s X -> proper# X) (proper# fst X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# tail X -> tail# proper X) (proper# fst X -> proper# X, proper# tail X -> proper# X) (proper# fst X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U12(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U12(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U12(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# snd X -> snd# proper X) (proper# snd X -> proper# X, proper# snd X -> proper# X) (proper# snd X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U22(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U22(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U32(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U32(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U42(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U42(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U42(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U41(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U41(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U41(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# head X -> head# proper X) (proper# snd X -> proper# X, proper# head X -> proper# X) (proper# snd X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U52(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U52(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U51(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U51(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# snd X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# snd X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# snd X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# snd X -> proper# X, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# snd X -> proper# X, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# snd X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# snd X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# snd X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# snd X -> proper# X, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# snd X -> proper# X, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# snd X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# snd X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# snd X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# snd X -> proper# X, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# snd X -> proper# X, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U64(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U64(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U72(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U72(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U82(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U82(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U82(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# snd X -> proper# X, proper# U81(X1, X2, X3) -> proper# X1) (proper# snd X -> proper# X, proper# U81(X1, X2, X3) -> proper# X2) (proper# snd X -> proper# X, proper# U81(X1, X2, X3) -> proper# X3) (proper# snd X -> proper# X, proper# fst X -> fst# proper X) (proper# snd X -> proper# X, proper# fst X -> proper# X) (proper# snd X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# snd X -> proper# X, proper# natsFrom X -> proper# X) (proper# snd X -> proper# X, proper# s X -> s# proper X) (proper# snd X -> proper# X, proper# s X -> proper# X) (proper# snd X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# snd X -> proper# X, proper# tail X -> tail# proper X) (proper# snd X -> proper# X, proper# tail X -> proper# X) (proper# snd X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# snd X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# snd X -> proper# X, proper# take(X1, X2) -> proper# X2) (tail# mark X -> tail# X, tail# mark X -> tail# X) (tail# mark X -> tail# X, tail# ok X -> tail# X) (s# mark X -> s# X, s# mark X -> s# X) (s# mark X -> s# X, s# ok X -> s# X) (natsFrom# mark X -> natsFrom# X, natsFrom# mark X -> natsFrom# X) (natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X) (fst# mark X -> fst# X, fst# mark X -> fst# X) (fst# mark X -> fst# X, fst# ok X -> fst# X) (head# mark X -> head# X, head# mark X -> head# X) (head# mark X -> head# X, head# ok X -> head# X) (snd# mark X -> snd# X, snd# mark X -> snd# X) (snd# mark X -> snd# X, snd# ok X -> snd# X) (active# s X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# s X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# s X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# s X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# s X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# s X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# s X -> active# X, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# s X -> active# X, active# snd X -> active# X) (active# s X -> active# X, active# snd X -> snd# active X) (active# s X -> active# X, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# s X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# s X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# s X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# s X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# s X -> active# X, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# s X -> active# X, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# s X -> active# X, active# U22(X1, X2) -> active# X1) (active# s X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (active# s X -> active# X, active# U21(X1, X2) -> active# X1) (active# s X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2)) (active# s X -> active# X, active# U21(tt(), X) -> U22#(tt(), X)) (active# s X -> active# X, active# U32(X1, X2) -> active# X1) (active# s X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (active# s X -> active# X, active# U31(X1, X2) -> active# X1) (active# s X -> active# X, active# U31(X1, X2) -> U31#(active X1, X2)) (active# s X -> active# X, active# U31(tt(), N) -> U32#(tt(), N)) (active# s X -> active# X, active# U42(X1, X2, X3) -> active# X1) (active# s X -> active# X, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# s X -> active# X, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# s X -> active# X, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# s X -> active# X, active# U41(X1, X2, X3) -> active# X1) (active# s X -> active# X, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# s X -> active# X, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# s X -> active# X, active# head X -> active# X) (active# s X -> active# X, active# head X -> head# active X) (active# s X -> active# X, active# head cons(N, XS) -> U31#(tt(), N)) (active# s X -> active# X, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# s X -> active# X, active# afterNth(X1, X2) -> active# X1) (active# s X -> active# X, active# afterNth(X1, X2) -> active# X2) (active# s X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# s X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# s X -> active# X, active# U52(X1, X2) -> active# X1) (active# s X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (active# s X -> active# X, active# U51(X1, X2) -> active# X1) (active# s X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (active# s X -> active# X, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# s X -> active# X, active# U62(X1, X2, X3, X4) -> active# X1) (active# s X -> active# X, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# s X -> active# X, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# s X -> active# X, active# U61(X1, X2, X3, X4) -> active# X1) (active# s X -> active# X, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# s X -> active# X, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# s X -> active# X, active# U63(X1, X2, X3, X4) -> active# X1) (active# s X -> active# X, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# s X -> active# X, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# s X -> active# X, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# s X -> active# X, active# U64(X1, X2) -> active# X1) (active# s X -> active# X, active# U64(X1, X2) -> U64#(active X1, X2)) (active# s X -> active# X, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# s X -> active# X, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# s X -> active# X, active# pair(X1, X2) -> active# X1) (active# s X -> active# X, active# pair(X1, X2) -> active# X2) (active# s X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# s X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# s X -> active# X, active# cons(X1, X2) -> active# X1) (active# s X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# s X -> active# X, active# U72(X1, X2) -> active# X1) (active# s X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2)) (active# s X -> active# X, active# U71(X1, X2) -> active# X1) (active# s X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (active# s X -> active# X, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# s X -> active# X, active# U82(X1, X2, X3) -> active# X1) (active# s X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# s X -> active# X, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# s X -> active# X, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# s X -> active# X, active# U81(X1, X2, X3) -> active# X1) (active# s X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# s X -> active# X, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# s X -> active# X, active# fst X -> active# X) (active# s X -> active# X, active# fst X -> fst# active X) (active# s X -> active# X, active# fst pair(X, Y) -> U21#(tt(), X)) (active# s X -> active# X, active# natsFrom N -> cons#(N, natsFrom s N)) (active# s X -> active# X, active# natsFrom N -> natsFrom# s N) (active# s X -> active# X, active# natsFrom N -> s# N) (active# s X -> active# X, active# natsFrom X -> active# X) (active# s X -> active# X, active# natsFrom X -> natsFrom# active X) (active# s X -> active# X, active# s X -> active# X) (active# s X -> active# X, active# s X -> s# active X) (active# s X -> active# X, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# s X -> active# X, active# sel(X1, X2) -> active# X1) (active# s X -> active# X, active# sel(X1, X2) -> active# X2) (active# s X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# s X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# s X -> active# X, active# tail X -> active# X) (active# s X -> active# X, active# tail X -> tail# active X) (active# s X -> active# X, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# s X -> active# X, active# take(N, XS) -> U81#(tt(), N, XS)) (active# s X -> active# X, active# take(X1, X2) -> active# X1) (active# s X -> active# X, active# take(X1, X2) -> active# X2) (active# s X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# s X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# fst X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# fst X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# fst X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# fst X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# fst X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# fst X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# fst X -> active# X, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# fst X -> active# X, active# snd X -> active# X) (active# fst X -> active# X, active# snd X -> snd# active X) (active# fst X -> active# X, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# fst X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# fst X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# fst X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# fst X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# fst X -> active# X, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# fst X -> active# X, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# fst X -> active# X, active# U22(X1, X2) -> active# X1) (active# fst X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (active# fst X -> active# X, active# U21(X1, X2) -> active# X1) (active# fst X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2)) (active# fst X -> active# X, active# U21(tt(), X) -> U22#(tt(), X)) (active# fst X -> active# X, active# U32(X1, X2) -> active# X1) (active# fst X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (active# fst X -> active# X, active# U31(X1, X2) -> active# X1) (active# fst X -> active# X, active# U31(X1, X2) -> U31#(active X1, X2)) (active# fst X -> active# X, active# U31(tt(), N) -> U32#(tt(), N)) (active# fst X -> active# X, active# U42(X1, X2, X3) -> active# X1) (active# fst X -> active# X, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# fst X -> active# X, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# fst X -> active# X, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# fst X -> active# X, active# U41(X1, X2, X3) -> active# X1) (active# fst X -> active# X, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# fst X -> active# X, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# fst X -> active# X, active# head X -> active# X) (active# fst X -> active# X, active# head X -> head# active X) (active# fst X -> active# X, active# head cons(N, XS) -> U31#(tt(), N)) (active# fst X -> active# X, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# fst X -> active# X, active# afterNth(X1, X2) -> active# X1) (active# fst X -> active# X, active# afterNth(X1, X2) -> active# X2) (active# fst X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# fst X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# fst X -> active# X, active# U52(X1, X2) -> active# X1) (active# fst X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (active# fst X -> active# X, active# U51(X1, X2) -> active# X1) (active# fst X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (active# fst X -> active# X, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# fst X -> active# X, active# U62(X1, X2, X3, X4) -> active# X1) (active# fst X -> active# X, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# fst X -> active# X, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# fst X -> active# X, active# U61(X1, X2, X3, X4) -> active# X1) (active# fst X -> active# X, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# fst X -> active# X, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# fst X -> active# X, active# U63(X1, X2, X3, X4) -> active# X1) (active# fst X -> active# X, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# fst X -> active# X, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# fst X -> active# X, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# fst X -> active# X, active# U64(X1, X2) -> active# X1) (active# fst X -> active# X, active# U64(X1, X2) -> U64#(active X1, X2)) (active# fst X -> active# X, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# fst X -> active# X, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# fst X -> active# X, active# pair(X1, X2) -> active# X1) (active# fst X -> active# X, active# pair(X1, X2) -> active# X2) (active# fst X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# fst X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# fst X -> active# X, active# cons(X1, X2) -> active# X1) (active# fst X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# fst X -> active# X, active# U72(X1, X2) -> active# X1) (active# fst X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2)) (active# fst X -> active# X, active# U71(X1, X2) -> active# X1) (active# fst X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (active# fst X -> active# X, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# fst X -> active# X, active# U82(X1, X2, X3) -> active# X1) (active# fst X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# fst X -> active# X, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# fst X -> active# X, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# fst X -> active# X, active# U81(X1, X2, X3) -> active# X1) (active# fst X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# fst X -> active# X, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# fst X -> active# X, active# fst X -> active# X) (active# fst X -> active# X, active# fst X -> fst# active X) (active# fst X -> active# X, active# fst pair(X, Y) -> U21#(tt(), X)) (active# fst X -> active# X, active# natsFrom N -> cons#(N, natsFrom s N)) (active# fst X -> active# X, active# natsFrom N -> natsFrom# s N) (active# fst X -> active# X, active# natsFrom N -> s# N) (active# fst X -> active# X, active# natsFrom X -> active# X) (active# fst X -> active# X, active# natsFrom X -> natsFrom# active X) (active# fst X -> active# X, active# s X -> active# X) (active# fst X -> active# X, active# s X -> s# active X) (active# fst X -> active# X, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# fst X -> active# X, active# sel(X1, X2) -> active# X1) (active# fst X -> active# X, active# sel(X1, X2) -> active# X2) (active# fst X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# fst X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# fst X -> active# X, active# tail X -> active# X) (active# fst X -> active# X, active# tail X -> tail# active X) (active# fst X -> active# X, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# fst X -> active# X, active# take(N, XS) -> U81#(tt(), N, XS)) (active# fst X -> active# X, active# take(X1, X2) -> active# X1) (active# fst X -> active# X, active# take(X1, X2) -> active# X2) (active# fst X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# fst X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# snd X -> active# X, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# snd X -> active# X, active# U12(X1, X2, X3) -> active# X1) (active# snd X -> active# X, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# snd X -> active# X, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# snd X -> active# X, active# U11(X1, X2, X3) -> active# X1) (active# snd X -> active# X, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# snd X -> active# X, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# snd X -> active# X, active# snd X -> active# X) (active# snd X -> active# X, active# snd X -> snd# active X) (active# snd X -> active# X, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1) (active# snd X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# snd X -> active# X, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# snd X -> active# X, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# snd X -> active# X, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# snd X -> active# X, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# snd X -> active# X, active# U22(X1, X2) -> active# X1) (active# snd X -> active# X, active# U22(X1, X2) -> U22#(active X1, X2)) (active# snd X -> active# X, active# U21(X1, X2) -> active# X1) (active# snd X -> active# X, active# U21(X1, X2) -> U21#(active X1, X2)) (active# snd X -> active# X, active# U21(tt(), X) -> U22#(tt(), X)) (active# snd X -> active# X, active# U32(X1, X2) -> active# X1) (active# snd X -> active# X, active# U32(X1, X2) -> U32#(active X1, X2)) (active# snd X -> active# X, active# U31(X1, X2) -> active# X1) (active# snd X -> active# X, active# U31(X1, X2) -> U31#(active X1, X2)) (active# snd X -> active# X, active# U31(tt(), N) -> U32#(tt(), N)) (active# snd X -> active# X, active# U42(X1, X2, X3) -> active# X1) (active# snd X -> active# X, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# snd X -> active# X, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# snd X -> active# X, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# snd X -> active# X, active# U41(X1, X2, X3) -> active# X1) (active# snd X -> active# X, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# snd X -> active# X, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# snd X -> active# X, active# head X -> active# X) (active# snd X -> active# X, active# head X -> head# active X) (active# snd X -> active# X, active# head cons(N, XS) -> U31#(tt(), N)) (active# snd X -> active# X, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# snd X -> active# X, active# afterNth(X1, X2) -> active# X1) (active# snd X -> active# X, active# afterNth(X1, X2) -> active# X2) (active# snd X -> active# X, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# snd X -> active# X, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# snd X -> active# X, active# U52(X1, X2) -> active# X1) (active# snd X -> active# X, active# U52(X1, X2) -> U52#(active X1, X2)) (active# snd X -> active# X, active# U51(X1, X2) -> active# X1) (active# snd X -> active# X, active# U51(X1, X2) -> U51#(active X1, X2)) (active# snd X -> active# X, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# snd X -> active# X, active# U62(X1, X2, X3, X4) -> active# X1) (active# snd X -> active# X, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# snd X -> active# X, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# snd X -> active# X, active# U61(X1, X2, X3, X4) -> active# X1) (active# snd X -> active# X, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# snd X -> active# X, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# snd X -> active# X, active# U63(X1, X2, X3, X4) -> active# X1) (active# snd X -> active# X, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# snd X -> active# X, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# snd X -> active# X, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# snd X -> active# X, active# U64(X1, X2) -> active# X1) (active# snd X -> active# X, active# U64(X1, X2) -> U64#(active X1, X2)) (active# snd X -> active# X, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# snd X -> active# X, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# snd X -> active# X, active# pair(X1, X2) -> active# X1) (active# snd X -> active# X, active# pair(X1, X2) -> active# X2) (active# snd X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# snd X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# snd X -> active# X, active# cons(X1, X2) -> active# X1) (active# snd X -> active# X, active# cons(X1, X2) -> cons#(active X1, X2)) (active# snd X -> active# X, active# U72(X1, X2) -> active# X1) (active# snd X -> active# X, active# U72(X1, X2) -> U72#(active X1, X2)) (active# snd X -> active# X, active# U71(X1, X2) -> active# X1) (active# snd X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (active# snd X -> active# X, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# snd X -> active# X, active# U82(X1, X2, X3) -> active# X1) (active# snd X -> active# X, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# snd X -> active# X, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# snd X -> active# X, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# snd X -> active# X, active# U81(X1, X2, X3) -> active# X1) (active# snd X -> active# X, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# snd X -> active# X, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# snd X -> active# X, active# fst X -> active# X) (active# snd X -> active# X, active# fst X -> fst# active X) (active# snd X -> active# X, active# fst pair(X, Y) -> U21#(tt(), X)) (active# snd X -> active# X, active# natsFrom N -> cons#(N, natsFrom s N)) (active# snd X -> active# X, active# natsFrom N -> natsFrom# s N) (active# snd X -> active# X, active# natsFrom N -> s# N) (active# snd X -> active# X, active# natsFrom X -> active# X) (active# snd X -> active# X, active# natsFrom X -> natsFrom# active X) (active# snd X -> active# X, active# s X -> active# X) (active# snd X -> active# X, active# s X -> s# active X) (active# snd X -> active# X, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# snd X -> active# X, active# sel(X1, X2) -> active# X1) (active# snd X -> active# X, active# sel(X1, X2) -> active# X2) (active# snd X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# snd X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# snd X -> active# X, active# tail X -> active# X) (active# snd X -> active# X, active# tail X -> tail# active X) (active# snd X -> active# X, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# snd X -> active# X, active# take(N, XS) -> U81#(tt(), N, XS)) (active# snd X -> active# X, active# take(X1, X2) -> active# X1) (active# snd X -> active# X, active# take(X1, X2) -> active# X2) (active# snd X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# snd X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# U42(tt(), N, XS) -> head# afterNth(N, XS), head# mark X -> head# X) (active# U42(tt(), N, XS) -> head# afterNth(N, XS), head# ok X -> head# X) (proper# take(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# take(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# take(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# take(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# take(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# take(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# take(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# take(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U81(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U81(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U81(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U81(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U81(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U81(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U81(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U71(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U71(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U71(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U71(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U71(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U71(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# cons(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# cons(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# cons(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# cons(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# cons(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# cons(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U64(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U64(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U64(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U64(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U64(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U64(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U64(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U64(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U64(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U64(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U64(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U64(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U64(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U64(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U64(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U64(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U64(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U64(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U64(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U64(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U64(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U64(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U64(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U64(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U64(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U64(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# snd X -> snd# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# snd X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# head X -> head# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# head X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# fst X -> fst# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# fst X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# s X -> s# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# s X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# tail X -> tail# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# tail X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U51(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U51(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U51(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U51(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U51(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U51(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U51(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U42(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U42(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U42(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U42(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U42(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U42(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U42(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U42(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U42(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U42(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U42(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U42(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U42(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U32(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U32(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U32(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U32(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U32(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U32(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U32(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U32(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U32(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U32(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U32(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U32(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U32(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U32(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U22(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U22(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U22(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U22(X1, X2) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U22(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U22(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U22(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U22(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U22(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U22(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U22(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U22(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U22(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U22(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U22(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U32(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U52(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U64(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U72(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (active# take(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# take(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# take(X1, X2) -> active# X2, active# snd X -> active# X) (active# take(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# take(X1, X2) -> active# X2, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# take(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# take(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# take(X1, X2) -> active# X2, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# take(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U21(X1, X2) -> U21#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U21(tt(), X) -> U22#(tt(), X)) (active# take(X1, X2) -> active# X2, active# U32(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U32(X1, X2) -> U32#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U31(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U31(X1, X2) -> U31#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U31(tt(), N) -> U32#(tt(), N)) (active# take(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# take(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# take(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# take(X1, X2) -> active# X2, active# head X -> active# X) (active# take(X1, X2) -> active# X2, active# head X -> head# active X) (active# take(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(tt(), N)) (active# take(X1, X2) -> active# X2, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# take(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# take(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U52(X1, X2) -> U52#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U51(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U51(X1, X2) -> U51#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# take(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> active# X1) (active# take(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# take(X1, X2) -> active# X2, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# take(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> active# X1) (active# take(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# take(X1, X2) -> active# X2, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# take(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> active# X1) (active# take(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# take(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# take(X1, X2) -> active# X2, active# U64(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U64(X1, X2) -> U64#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# take(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# take(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2)) (active# take(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U72(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U72(X1, X2) -> U72#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# take(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# take(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# take(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> active# X1) (active# take(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# take(X1, X2) -> active# X2, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# take(X1, X2) -> active# X2, active# fst X -> active# X) (active# take(X1, X2) -> active# X2, active# fst X -> fst# active X) (active# take(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(tt(), X)) (active# take(X1, X2) -> active# X2, active# natsFrom N -> cons#(N, natsFrom s N)) (active# take(X1, X2) -> active# X2, active# natsFrom N -> natsFrom# s N) (active# take(X1, X2) -> active# X2, active# natsFrom N -> s# N) (active# take(X1, X2) -> active# X2, active# natsFrom X -> active# X) (active# take(X1, X2) -> active# X2, active# natsFrom X -> natsFrom# active X) (active# take(X1, X2) -> active# X2, active# s X -> active# X) (active# take(X1, X2) -> active# X2, active# s X -> s# active X) (active# take(X1, X2) -> active# X2, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# take(X1, X2) -> active# X2, active# tail X -> active# X) (active# take(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# take(X1, X2) -> active# X2, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# take(X1, X2) -> active# X2, active# take(N, XS) -> U81#(tt(), N, XS)) (active# take(X1, X2) -> active# X2, active# take(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# take(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X2, active# take(X1, X2) -> take#(X1, active X2)) (active# take(X1, X2) -> active# X2, active# take(X1, X2) -> take#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# pair(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# pair(X1, X2) -> active# X2, active# snd X -> active# X) (active# pair(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# pair(X1, X2) -> active# X2, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# pair(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# pair(X1, X2) -> active# X2, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# pair(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U21(X1, X2) -> U21#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U21(tt(), X) -> U22#(tt(), X)) (active# pair(X1, X2) -> active# X2, active# U32(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U32(X1, X2) -> U32#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U31(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U31(X1, X2) -> U31#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U31(tt(), N) -> U32#(tt(), N)) (active# pair(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# pair(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# pair(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# pair(X1, X2) -> active# X2, active# head X -> active# X) (active# pair(X1, X2) -> active# X2, active# head X -> head# active X) (active# pair(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(tt(), N)) (active# pair(X1, X2) -> active# X2, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# pair(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U52(X1, X2) -> U52#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U51(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U51(X1, X2) -> U51#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# pair(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X2, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# pair(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X2, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# pair(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# pair(X1, X2) -> active# X2, active# U64(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U64(X1, X2) -> U64#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# pair(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U72(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U72(X1, X2) -> U72#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# pair(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# pair(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X2, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# pair(X1, X2) -> active# X2, active# fst X -> active# X) (active# pair(X1, X2) -> active# X2, active# fst X -> fst# active X) (active# pair(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(tt(), X)) (active# pair(X1, X2) -> active# X2, active# natsFrom N -> cons#(N, natsFrom s N)) (active# pair(X1, X2) -> active# X2, active# natsFrom N -> natsFrom# s N) (active# pair(X1, X2) -> active# X2, active# natsFrom N -> s# N) (active# pair(X1, X2) -> active# X2, active# natsFrom X -> active# X) (active# pair(X1, X2) -> active# X2, active# natsFrom X -> natsFrom# active X) (active# pair(X1, X2) -> active# X2, active# s X -> active# X) (active# pair(X1, X2) -> active# X2, active# s X -> s# active X) (active# pair(X1, X2) -> active# X2, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# pair(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# pair(X1, X2) -> active# X2, active# tail X -> active# X) (active# pair(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# pair(X1, X2) -> active# X2, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# pair(X1, X2) -> active# X2, active# take(N, XS) -> U81#(tt(), N, XS)) (active# pair(X1, X2) -> active# X2, active# take(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X2, active# take(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X2, active# take(X1, X2) -> take#(X1, active X2)) (active# pair(X1, X2) -> active# X2, active# take(X1, X2) -> take#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U12(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# snd X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# snd X -> snd# active X) (active# splitAt(X1, X2) -> active# X2, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# splitAt(X1, X2) -> active# X2, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> U22#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U21(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U21(X1, X2) -> U21#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U21(tt(), X) -> U22#(tt(), X)) (active# splitAt(X1, X2) -> active# X2, active# U32(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U32(X1, X2) -> U32#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U31(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U31(X1, X2) -> U31#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U31(tt(), N) -> U32#(tt(), N)) (active# splitAt(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# head X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# head X -> head# active X) (active# splitAt(X1, X2) -> active# X2, active# head cons(N, XS) -> U31#(tt(), N)) (active# splitAt(X1, X2) -> active# X2, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# afterNth(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# splitAt(X1, X2) -> active# X2, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U52(X1, X2) -> U52#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U51(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U51(X1, X2) -> U51#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# splitAt(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X2, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# splitAt(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X2, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# splitAt(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# splitAt(X1, X2) -> active# X2, active# U64(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U64(X1, X2) -> U64#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# splitAt(X1, X2) -> active# X2, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# splitAt(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(X1, active X2)) (active# splitAt(X1, X2) -> active# X2, active# pair(X1, X2) -> pair#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# cons(X1, X2) -> cons#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U72(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U72(X1, X2) -> U72#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# splitAt(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X2, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# fst X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# fst X -> fst# active X) (active# splitAt(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(tt(), X)) (active# splitAt(X1, X2) -> active# X2, active# natsFrom N -> cons#(N, natsFrom s N)) (active# splitAt(X1, X2) -> active# X2, active# natsFrom N -> natsFrom# s N) (active# splitAt(X1, X2) -> active# X2, active# natsFrom N -> s# N) (active# splitAt(X1, X2) -> active# X2, active# natsFrom X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# natsFrom X -> natsFrom# active X) (active# splitAt(X1, X2) -> active# X2, active# s X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# s X -> s# active X) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(X1, active X2)) (active# splitAt(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# tail X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> U81#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# take(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# take(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# take(X1, X2) -> take#(X1, active X2)) (active# splitAt(X1, X2) -> active# X2, active# take(X1, X2) -> take#(active X1, X2)) (active# U71(tt(), XS) -> U72#(tt(), XS), U72#(mark X1, X2) -> U72#(X1, X2)) (active# U71(tt(), XS) -> U72#(tt(), XS), U72#(ok X1, ok X2) -> U72#(X1, X2)) (proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4), U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4)) (proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4), U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U12(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# snd X -> snd# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# snd X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U22(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U32(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U42(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# head X -> head# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# head X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U52(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U72(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U72(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# fst X -> fst# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# fst X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> natsFrom# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# s X -> s# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# s X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X2) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# tail X -> tail# proper X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# tail X -> proper# X) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X1) (proper# U61(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X2) (active# natsFrom N -> natsFrom# s N, natsFrom# mark X -> natsFrom# X) (active# natsFrom N -> natsFrom# s N, natsFrom# ok X -> natsFrom# X) (top# mark X -> top# proper X, top# mark X -> proper# X) (top# mark X -> top# proper X, top# mark X -> top# proper X) (top# mark X -> top# proper X, top# ok X -> active# X) (top# mark X -> top# proper X, top# ok X -> top# active X) (proper# s X -> s# proper X, s# mark X -> s# X) (proper# s X -> s# proper X, s# ok X -> s# X) (proper# fst X -> fst# proper X, fst# mark X -> fst# X) (proper# fst X -> fst# proper X, fst# ok X -> fst# X) (proper# snd X -> snd# proper X, snd# mark X -> snd# X) (proper# snd X -> snd# proper X, snd# ok X -> snd# X) (active# s X -> s# active X, s# mark X -> s# X) (active# s X -> s# active X, s# ok X -> s# X) (active# fst X -> fst# active X, fst# mark X -> fst# X) (active# fst X -> fst# active X, fst# ok X -> fst# X) (active# snd X -> snd# active X, snd# mark X -> snd# X) (active# snd X -> snd# active X, snd# ok X -> snd# X) (active# U31(tt(), N) -> U32#(tt(), N), U32#(mark X1, X2) -> U32#(X1, X2)) (active# U31(tt(), N) -> U32#(tt(), N), U32#(ok X1, ok X2) -> U32#(X1, X2)) (active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS), U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4)) (U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4), U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4)) (U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4), U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)) (U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4), U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4)) (U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4), U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4)) (active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4), U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)) (active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4), U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4)) (active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4), U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)) (active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4), U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4)) (proper# sel(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# sel(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# sel(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# sel(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# sel(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# sel(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# sel(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U82(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U82(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U82(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U82(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U82(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U82(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U82(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U82(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U82(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U82(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U72(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U72(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U72(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U72(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U72(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U72(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U72(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U72(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U72(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U72(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U72(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U72(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U72(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U72(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U72(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U72(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U72(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U72(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U72(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U72(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U72(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U72(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U72(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U72(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U72(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U72(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# pair(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# pair(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# pair(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# pair(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# pair(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# pair(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# snd X -> snd# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# snd X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# head X -> head# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# head X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# fst X -> fst# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# fst X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# s X -> s# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# s X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# tail X -> tail# proper X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# tail X -> proper# X) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U63(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# snd X -> snd# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# snd X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# head X -> head# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# head X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# fst X -> fst# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# fst X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# s X -> s# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# s X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# tail X -> tail# proper X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# tail X -> proper# X) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U62(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U52(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U52(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U52(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U52(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U52(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U52(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U52(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U52(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U52(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U52(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U52(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U52(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U52(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U52(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U52(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U52(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U52(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U52(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U41(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U41(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U41(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U41(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U41(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U31(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U31(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U31(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U31(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U31(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U31(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U21(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U21(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U21(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U21(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U21(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U21(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# splitAt(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# splitAt(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> U22#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U22(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> U32#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U32(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> U41#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> U52#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U52(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> U51#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U51(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> U62#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> U61#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> U63#(proper X1, proper X2, proper X3, proper X4)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X4) (proper# U12(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> U64#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U64(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> U72#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U72(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> U81#(proper X1, proper X2, proper X3)) (proper# U12(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X3) (proper# U12(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U12(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U12(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U12(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U12(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U12(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (active# sel(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# sel(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# sel(X1, X2) -> active# X1, active# snd X -> active# X) (active# sel(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# sel(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# sel(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# sel(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# sel(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# sel(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# sel(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# sel(X1, X2) -> active# X1, active# head X -> active# X) (active# sel(X1, X2) -> active# X1, active# head X -> head# active X) (active# sel(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# sel(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# sel(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# sel(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# sel(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# sel(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# sel(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# sel(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# sel(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# sel(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# sel(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# sel(X1, X2) -> active# X1, active# fst X -> active# X) (active# sel(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# sel(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# sel(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# sel(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# sel(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# sel(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# sel(X1, X2) -> active# X1, active# s X -> active# X) (active# sel(X1, X2) -> active# X1, active# s X -> s# active X) (active# sel(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# tail X -> active# X) (active# sel(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# sel(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# sel(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# sel(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U82(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U82(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U82(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U82(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U82(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U82(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U82(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U82(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U82(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U82(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U82(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U82(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U82(X1, X2, X3) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U82(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U82(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U82(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U82(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U82(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U82(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U82(X1, X2, X3) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U82(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U82(X1, X2, X3) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U82(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U82(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U82(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U82(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U82(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U82(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U82(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U82(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U82(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U82(X1, X2, X3) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U82(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U82(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U82(X1, X2, X3) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U82(X1, X2, X3) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U82(X1, X2, X3) -> active# X1, active# natsFrom N -> s# N) (active# U82(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U82(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U82(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U82(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U82(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U82(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U82(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U82(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U82(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U82(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U82(X1, X2, X3) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U82(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U82(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U82(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U82(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U72(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U72(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U72(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U72(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U72(X1, X2) -> active# X1, active# snd X -> active# X) (active# U72(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U72(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U72(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U72(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U72(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U72(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U72(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U72(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U72(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U72(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U72(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U72(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U72(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U72(X1, X2) -> active# X1, active# head X -> active# X) (active# U72(X1, X2) -> active# X1, active# head X -> head# active X) (active# U72(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U72(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U72(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U72(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U72(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U72(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U72(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U72(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U72(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U72(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U72(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U72(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U72(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U72(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U72(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U72(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U72(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U72(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U72(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U72(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U72(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U72(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U72(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U72(X1, X2) -> active# X1, active# fst X -> active# X) (active# U72(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U72(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U72(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U72(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U72(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# U72(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U72(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U72(X1, X2) -> active# X1, active# s X -> active# X) (active# U72(X1, X2) -> active# X1, active# s X -> s# active X) (active# U72(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U72(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U72(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U72(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U72(X1, X2) -> active# X1, active# tail X -> active# X) (active# U72(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U72(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U72(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U72(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U72(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U72(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U72(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# pair(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# pair(X1, X2) -> active# X1, active# snd X -> active# X) (active# pair(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# pair(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# pair(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# pair(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# pair(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# pair(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# pair(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# pair(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# pair(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# pair(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# pair(X1, X2) -> active# X1, active# head X -> active# X) (active# pair(X1, X2) -> active# X1, active# head X -> head# active X) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# pair(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# pair(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# pair(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# pair(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# pair(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# pair(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# pair(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# pair(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# pair(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# pair(X1, X2) -> active# X1, active# fst X -> active# X) (active# pair(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# pair(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# pair(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# pair(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# pair(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# pair(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# pair(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# pair(X1, X2) -> active# X1, active# s X -> active# X) (active# pair(X1, X2) -> active# X1, active# s X -> s# active X) (active# pair(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# pair(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# pair(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# tail X -> active# X) (active# pair(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# pair(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# pair(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# pair(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# pair(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# pair(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# snd X -> active# X) (active# U63(X1, X2, X3, X4) -> active# X1, active# snd X -> snd# active X) (active# U63(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U63(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U63(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# head X -> active# X) (active# U63(X1, X2, X3, X4) -> active# X1, active# head X -> head# active X) (active# U63(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U63(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U63(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U63(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U63(X1, X2, X3, X4) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# fst X -> active# X) (active# U63(X1, X2, X3, X4) -> active# X1, active# fst X -> fst# active X) (active# U63(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U63(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U63(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U63(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> s# N) (active# U63(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> active# X) (active# U63(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U63(X1, X2, X3, X4) -> active# X1, active# s X -> active# X) (active# U63(X1, X2, X3, X4) -> active# X1, active# s X -> s# active X) (active# U63(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U63(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# tail X -> active# X) (active# U63(X1, X2, X3, X4) -> active# X1, active# tail X -> tail# active X) (active# U63(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U63(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X1) (active# U63(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X2) (active# U63(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U63(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# snd X -> active# X) (active# U62(X1, X2, X3, X4) -> active# X1, active# snd X -> snd# active X) (active# U62(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U62(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U62(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# head X -> active# X) (active# U62(X1, X2, X3, X4) -> active# X1, active# head X -> head# active X) (active# U62(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U62(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U62(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U62(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U62(X1, X2, X3, X4) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# fst X -> active# X) (active# U62(X1, X2, X3, X4) -> active# X1, active# fst X -> fst# active X) (active# U62(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U62(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U62(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U62(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> s# N) (active# U62(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> active# X) (active# U62(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U62(X1, X2, X3, X4) -> active# X1, active# s X -> active# X) (active# U62(X1, X2, X3, X4) -> active# X1, active# s X -> s# active X) (active# U62(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U62(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# tail X -> active# X) (active# U62(X1, X2, X3, X4) -> active# X1, active# tail X -> tail# active X) (active# U62(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U62(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X1) (active# U62(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X2) (active# U62(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U62(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U52(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U52(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U52(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U52(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U52(X1, X2) -> active# X1, active# snd X -> active# X) (active# U52(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U52(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U52(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U52(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U52(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U52(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U52(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U52(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U52(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U52(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U52(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U52(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U52(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U52(X1, X2) -> active# X1, active# head X -> active# X) (active# U52(X1, X2) -> active# X1, active# head X -> head# active X) (active# U52(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U52(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U52(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U52(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U52(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U52(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U52(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U52(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U52(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U52(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U52(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U52(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U52(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U52(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U52(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U52(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U52(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U52(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U52(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U52(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U52(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U52(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U52(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U52(X1, X2) -> active# X1, active# fst X -> active# X) (active# U52(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U52(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U52(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U52(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U52(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# U52(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U52(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U52(X1, X2) -> active# X1, active# s X -> active# X) (active# U52(X1, X2) -> active# X1, active# s X -> s# active X) (active# U52(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U52(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U52(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U52(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U52(X1, X2) -> active# X1, active# tail X -> active# X) (active# U52(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U52(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U52(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U52(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U52(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U52(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U52(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U41(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U41(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U41(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U41(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U41(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U41(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U41(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U41(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U41(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U41(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U41(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U41(X1, X2, X3) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U41(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U41(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U41(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U41(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U41(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U41(X1, X2, X3) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U41(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U41(X1, X2, X3) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U41(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U41(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U41(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U41(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U41(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U41(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U41(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U41(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U41(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U41(X1, X2, X3) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U41(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U41(X1, X2, X3) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U41(X1, X2, X3) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U41(X1, X2, X3) -> active# X1, active# natsFrom N -> s# N) (active# U41(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U41(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U41(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U41(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U41(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U41(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U41(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U41(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U41(X1, X2, X3) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U41(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U41(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U41(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U41(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U31(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U31(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U31(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U31(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U31(X1, X2) -> active# X1, active# snd X -> active# X) (active# U31(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U31(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U31(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U31(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U31(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U31(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U31(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U31(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U31(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U31(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U31(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U31(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U31(X1, X2) -> active# X1, active# head X -> active# X) (active# U31(X1, X2) -> active# X1, active# head X -> head# active X) (active# U31(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U31(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U31(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U31(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U31(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U31(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U31(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U31(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U31(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U31(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U31(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U31(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U31(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U31(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U31(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U31(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U31(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U31(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U31(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U31(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U31(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U31(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U31(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U31(X1, X2) -> active# X1, active# fst X -> active# X) (active# U31(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U31(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U31(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U31(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U31(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# U31(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U31(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U31(X1, X2) -> active# X1, active# s X -> active# X) (active# U31(X1, X2) -> active# X1, active# s X -> s# active X) (active# U31(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U31(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U31(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U31(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# tail X -> active# X) (active# U31(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U31(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U31(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U31(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U31(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U31(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U31(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U21(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U21(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U21(X1, X2) -> active# X1, active# snd X -> active# X) (active# U21(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U21(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U21(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U21(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U21(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U21(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U21(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U21(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U21(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U21(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U21(X1, X2) -> active# X1, active# head X -> active# X) (active# U21(X1, X2) -> active# X1, active# head X -> head# active X) (active# U21(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U21(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U21(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U21(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U21(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U21(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U21(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U21(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U21(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U21(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U21(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U21(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U21(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U21(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U21(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U21(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U21(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U21(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U21(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U21(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U21(X1, X2) -> active# X1, active# fst X -> active# X) (active# U21(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U21(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U21(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U21(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U21(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# U21(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U21(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U21(X1, X2) -> active# X1, active# s X -> active# X) (active# U21(X1, X2) -> active# X1, active# s X -> s# active X) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# tail X -> active# X) (active# U21(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# snd X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# splitAt(X1, X2) -> active# X1, active# U22(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# splitAt(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# splitAt(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# head X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# head X -> head# active X) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# splitAt(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U52(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# splitAt(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# splitAt(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# splitAt(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# splitAt(X1, X2) -> active# X1, active# U64(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# splitAt(X1, X2) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# splitAt(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# splitAt(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# splitAt(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# fst X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# splitAt(X1, X2) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# splitAt(X1, X2) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# splitAt(X1, X2) -> active# X1, active# natsFrom N -> s# N) (active# splitAt(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# splitAt(X1, X2) -> active# X1, active# s X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# s X -> s# active X) (active# splitAt(X1, X2) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# splitAt(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# tail X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# splitAt(X1, X2) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# splitAt(X1, X2) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# splitAt(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> U12#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U12(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U12(tt(), N, XS) -> splitAt#(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> U12#(tt(), N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U12(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U51#(tt(), Y)) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U61#(tt(), N, X, XS)) (active# U12(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> pair#(nil(), XS)) (active# U12(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U22(X1, X2) -> U22#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U21(tt(), X) -> U22#(tt(), X)) (active# U12(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U32(X1, X2) -> U32#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U31(tt(), N) -> U32#(tt(), N)) (active# U12(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U42(X1, X2, X3) -> U42#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> head# afterNth(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U42(tt(), N, XS) -> afterNth#(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> U41#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U41(tt(), N, XS) -> U42#(tt(), N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U12(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(tt(), N)) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(tt(), N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U52(X1, X2) -> U52#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U51(X1, X2) -> U51#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U51(tt(), Y) -> U52#(tt(), Y)) (active# U12(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U62(X1, X2, X3, X4) -> U62#(active X1, X2, X3, X4)) (active# U12(X1, X2, X3) -> active# X1, active# U62(tt(), N, X, XS) -> U63#(tt(), N, X, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U61(X1, X2, X3, X4) -> U61#(active X1, X2, X3, X4)) (active# U12(X1, X2, X3) -> active# X1, active# U61(tt(), N, X, XS) -> U62#(tt(), N, X, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U63(X1, X2, X3, X4) -> U63#(active X1, X2, X3, X4)) (active# U12(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U63(tt(), N, X, XS) -> U64#(splitAt(N, XS), X)) (active# U12(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U64(X1, X2) -> U64#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U12(X1, X2, X3) -> active# X1, active# U64(pair(YS, ZS), X) -> cons#(X, YS)) (active# U12(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U72(X1, X2) -> U72#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# U71(tt(), XS) -> U72#(tt(), XS)) (active# U12(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U82(X1, X2, X3) -> U82#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> splitAt#(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U82(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> U81#(active X1, X2, X3)) (active# U12(X1, X2, X3) -> active# X1, active# U81(tt(), N, XS) -> U82#(tt(), N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U12(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(tt(), X)) (active# U12(X1, X2, X3) -> active# X1, active# natsFrom N -> cons#(N, natsFrom s N)) (active# U12(X1, X2, X3) -> active# X1, active# natsFrom N -> natsFrom# s N) (active# U12(X1, X2, X3) -> active# X1, active# natsFrom N -> s# N) (active# U12(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U12(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U12(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U41#(tt(), N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U12(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U12(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U12(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U71#(tt(), XS)) (active# U12(X1, X2, X3) -> active# X1, active# take(N, XS) -> U81#(tt(), N, XS)) (active# U12(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U12(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U12(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U12(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3), U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)) (proper# U82(X1, X2, X3) -> U82#(proper X1, proper X2, proper X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3)) (proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3), U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)) (proper# U42(X1, X2, X3) -> U42#(proper X1, proper X2, proper X3), U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3)) (proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3), U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)) (proper# U12(X1, X2, X3) -> U12#(proper X1, proper X2, proper X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)) } STATUS: arrows: 0.852535 SCCS (33): Scc: {top# mark X -> top# proper X, top# ok X -> top# active X} Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X, proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2, proper# tail X -> proper# X, proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2} Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# natsFrom X -> active# X, active# s X -> active# X, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2, active# tail X -> active# X, active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2} Scc: { take#(X1, mark X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)} Scc: {tail# mark X -> tail# X, tail# ok X -> tail# X} Scc: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)} Scc: {s# mark X -> s# X, s# ok X -> s# X} Scc: {natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X} Scc: {fst# mark X -> fst# X, fst# ok X -> fst# X} Scc: { U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)} Scc: { U72#(mark X1, X2) -> U72#(X1, X2), U72#(ok X1, ok X2) -> U72#(X1, X2)} Scc: { cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)} Scc: { U64#(mark X1, X2) -> U64#(X1, X2), U64#(ok X1, ok X2) -> U64#(X1, X2)} Scc: { U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4)} Scc: { U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4)} Scc: { U52#(mark X1, X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)} Scc: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)} Scc: {head# mark X -> head# X, head# ok X -> head# X} Scc: { U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)} Scc: { U32#(mark X1, X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)} Scc: { U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)} Scc: { U22#(mark X1, X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2)} Scc: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2)} Scc: { U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4)} Scc: { U51#(mark X1, X2) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2)} Scc: { splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)} Scc: {snd# mark X -> snd# X, snd# ok X -> snd# X} Scc: { U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3)} Scc: { U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3)} Scc: { U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)} Scc: { U42#(mark X1, X2, X3) -> U42#(X1, X2, X3), U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3)} Scc: { U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)} Scc: { U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)} SCC (2): Strict: {top# mark X -> top# proper X, top# ok X -> top# active X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Fail SCC (66): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X, proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2, proper# tail X -> proper# X, proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1 + x2, [U81](x0, x1, x2) = x0 + x1 + x2, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0 + x1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1 + 1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0, [natsFrom](x0) = x0, [s](x0) = x0, [tail](x0) = x0, [proper](x0) = x0 + 1, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# take(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# take(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# tail X -> proper# X 0 + 1X >= 0 + 1X proper# sel(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# sel(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# s X -> proper# X 0 + 1X >= 0 + 1X proper# natsFrom X -> proper# X 0 + 1X >= 0 + 1X proper# fst X -> proper# X 0 + 1X >= 0 + 1X proper# U81(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U81(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U81(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U82(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U82(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U82(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U71(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U71(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U72(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# cons(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# cons(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U61(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U61(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U61(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U61(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 2 + 1X1 + 1X2 >= 3 + 1X1 + 1X2 proper tail X -> tail proper X 1 + 1X >= 1 + 1X proper 0() -> ok 0() 1 >= 0 proper nil() -> ok nil() 1 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 1 + 1X >= 1 + 1X proper natsFrom X -> natsFrom proper X 1 + 1X >= 1 + 1X proper fst X -> fst proper X 1 + 1X >= 1 + 1X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 1 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 0 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X, proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2, proper# tail X -> proper# X} SCC (64): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X, proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2, proper# tail X -> proper# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1 + x2, [U81](x0, x1, x2) = x0 + x1 + x2, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0 + x1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0, [natsFrom](x0) = x0, [s](x0) = x0, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# tail X -> proper# X 1 + 1X >= 0 + 1X proper# sel(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# sel(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# s X -> proper# X 0 + 1X >= 0 + 1X proper# natsFrom X -> proper# X 0 + 1X >= 0 + 1X proper# fst X -> proper# X 0 + 1X >= 0 + 1X proper# U81(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U81(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U81(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U82(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U82(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U82(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U71(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U71(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U72(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# cons(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# cons(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U61(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U61(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U61(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U61(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 1 + 0X >= 0 + 0X tail mark X -> mark tail X 1 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 0 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X, proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2} SCC (63): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X, proper# s X -> proper# X, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1 + x2, [U81](x0, x1, x2) = x0 + x1 + x2, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0 + x1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1 + 1, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0, [natsFrom](x0) = x0, [s](x0) = x0, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# sel(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# sel(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# s X -> proper# X 0 + 1X >= 0 + 1X proper# natsFrom X -> proper# X 0 + 1X >= 0 + 1X proper# fst X -> proper# X 0 + 1X >= 0 + 1X proper# U81(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U81(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U81(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U82(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U82(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U82(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U71(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U71(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U72(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# cons(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# cons(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U61(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U61(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U61(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U61(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 0 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X, proper# s X -> proper# X} SCC (61): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X, proper# s X -> proper# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1 + x2, [U81](x0, x1, x2) = x0 + x1 + x2, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0 + x1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0, [natsFrom](x0) = x0, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# s X -> proper# X 1 + 1X >= 0 + 1X proper# natsFrom X -> proper# X 0 + 1X >= 0 + 1X proper# fst X -> proper# X 0 + 1X >= 0 + 1X proper# U81(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U81(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U81(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U82(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U82(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U82(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U71(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U71(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U72(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# cons(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# cons(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U61(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U61(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U61(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U61(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 1 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 2 + 1X >= 2 + 1X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 1 + 1X >= 1 + 1X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X} SCC (60): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X, proper# natsFrom X -> proper# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1 + x2, [U81](x0, x1, x2) = x0 + x1 + x2, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0 + x1 + 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# natsFrom X -> proper# X 1 + 1X >= 0 + 1X proper# fst X -> proper# X 0 + 1X >= 0 + 1X proper# U81(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U81(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U81(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U82(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U82(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U82(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U71(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U71(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U72(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# cons(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# cons(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U61(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U61(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U61(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U61(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X} SCC (57): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1 + x2, [U81](x0, x1, x2) = x0 + x1 + x2, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = x0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# fst X -> proper# X 1 + 1X >= 0 + 1X proper# U81(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U81(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U81(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U82(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U82(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U82(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U71(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U71(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U72(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U61(X1, X2, X3, X4) -> proper# X4 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U61(X1, X2, X3, X4) -> proper# X3 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U61(X1, X2, X3, X4) -> proper# X2 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U61(X1, X2, X3, X4) -> proper# X1 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 5 + 1X1 + 1X2 + 1X3 + 1X4 >= 2 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 1 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 1 + 1X >= 1 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 1 + 1N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 1 + 1X + 1Y >= 0 + 0X active fst X -> fst active X 1 + 1X >= 1 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 1N + 1XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 1N + 1XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 1XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 1XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 1X + 1YS + 1ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 1N + 1XS + 1X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 1N + 1XS + 1X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 1N + 1XS + 1X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 1Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 1Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 1N + 1XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 1 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 1X >= 0 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 1N + 1XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 1N + 1XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 1N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active U32(tt(), N) -> mark N 0 + 1N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 1X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active U22(tt(), X) -> mark X 0 + 1X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 1XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 1X + 1Y >= 0 + 0Y active snd X -> snd active X 0 + 1X >= 0 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 1N + 1XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 1N + 1XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3} SCC (52): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3) -> proper# X3} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1 + x2, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1 + 1, [take](x0, x1) = x0 + x1 + 1, [mark](x0) = 0, [active](x0) = 1, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U81(X1, X2, X3) -> proper# X3 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U81(X1, X2, X3) -> proper# X2 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U81(X1, X2, X3) -> proper# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U82(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U82(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U82(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U71(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U71(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U72(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 1 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 2 + 1X >= 2 + 1X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 1X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 1 + 0X1 + 0X2 >= 2 + 1X1 + 0X2 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 tail X -> tail active X 1 + 0X >= 2 + 0X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 2 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 1 + 0X >= 2 + 0X active natsFrom X -> natsFrom active X 1 + 0X >= 0 + 0X 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 fst X -> fst active X 1 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 1 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 1 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 1 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 1 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 1 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 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 head X -> head active X 1 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 1 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U32(tt(), N) -> mark N 1 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U22(tt(), X) -> mark X 1 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 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 splitAt(X1, X2) -> splitAt(active X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 1 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 1 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 1 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 1 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3} SCC (49): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X1, proper# U82(X1, X2, X3) -> proper# X2, proper# U82(X1, X2, X3) -> proper# X3} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1 + x2 + 1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U82(X1, X2, X3) -> proper# X3 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U82(X1, X2, X3) -> proper# X2 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U82(X1, X2, X3) -> proper# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U71(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U71(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U72(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 0 proper nil() -> ok nil() 1 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 2 + 1X1 + 1X2 + 1X3 >= 4 + 1X1 + 1X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 1X3 + 0X4 >= 2 + 0X1 + 1X2 + 1X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 1 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2} SCC (46): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1 + 1, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U71(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# U71(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# U72(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 2 + 1X >= 2 + 1X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 1 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 2 + 1X1 + 1X2 >= 3 + 1X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 1 + 1X >= 1 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 + 1X2 + 1X3 + 1X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 + 1X2 + 1X3 + 1X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 1X >= 0 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 1X >= 0 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 1 + 1XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 1X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 1XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 1ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 1N + 1XS + 1X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 1N + 1XS + 1X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 1N + 1XS + 1X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 1Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 1N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 1N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 1X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 1Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2} SCC (44): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U72(X1, X2) -> proper# X1, proper# U72(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1 + 1, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U72(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# U72(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# pair(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 0 proper nil() -> ok nil() 1 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 2 + 1X1 + 1X2 >= 3 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 1X3 + 0X4 >= 2 + 0X1 + 1X2 + 1X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 1 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2} SCC (42): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [proper#](x0) = x0 Strict: proper# pair(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# pair(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# U64(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 + 1X2 + 1X3 + 1X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 + 1X2 + 1X3 + 1X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 1X >= 0 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 1X >= 0 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 1X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 1ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 1N + 1XS + 1X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 1N + 1XS + 1X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 1N + 1XS + 1X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 1Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 1N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 1N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 1X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 1Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2} SCC (40): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4, proper# U64(X1, X2) -> proper# X1, proper# U64(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + 1, [take](x0, x1) = 0, [mark](x0) = x0 + 1, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U64(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# U64(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# U63(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 tail ok X -> ok tail X 1 + 0X >= 0 + 0X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 1 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 1 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 2 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 1 + 1X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 1 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 1N + 1XS + 1X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 1N + 1XS + 1X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 1N + 1XS + 1X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 1 + 1Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 1 + 1N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 1 + 1N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 1 + 1X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 1 + 1Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4} SCC (38): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4, proper# U63(X1, X2, X3, X4) -> proper# X1, proper# U63(X1, X2, X3, X4) -> proper# X2, proper# U63(X1, X2, X3, X4) -> proper# X3, proper# U63(X1, X2, X3, X4) -> proper# X4} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = x0 + x1 + x2 + x3 + 1, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 1, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U63(X1, X2, X3, X4) -> proper# X4 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U63(X1, X2, X3, X4) -> proper# X3 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U63(X1, X2, X3, X4) -> proper# X2 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U63(X1, X2, X3, X4) -> proper# X1 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U62(X1, X2, X3, X4) -> proper# X4 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 tail ok X -> ok tail X 1 + 0X >= 0 + 0X tail mark X -> mark tail X 2 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 2 + 0X >= 1 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 1 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 1X3 + 1X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 1X3 + 1X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 1 + 0X >= 1 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 1 + 0X >= 1 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 1 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 1 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 1 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 1 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 1X2 + 1X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 1 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 1 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 1 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 1 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 1 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 1 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 1 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4} SCC (34): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X1, proper# U62(X1, X2, X3, X4) -> proper# X2, proper# U62(X1, X2, X3, X4) -> proper# X3, proper# U62(X1, X2, X3, X4) -> proper# X4} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 1, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U62(X1, X2, X3, X4) -> proper# X4 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X4 proper# U62(X1, X2, X3, X4) -> proper# X3 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X3 proper# U62(X1, X2, X3, X4) -> proper# X2 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X2 proper# U62(X1, X2, X3, X4) -> proper# X1 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 proper# U51(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 0 proper nil() -> ok nil() 1 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 5 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 3 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 3 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 3 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 3 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2} SCC (30): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2, proper# U51(X1, X2) -> proper# X1, proper# U51(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1 + 1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U51(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# U51(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# U52(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2} SCC (28): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U52(X1, X2) -> proper# X1, proper# U52(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U52(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# U52(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# afterNth(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2} SCC (26): Strict: { proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1 + 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 1, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# afterNth(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# afterNth(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# head X -> proper# X 0 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 1X >= 1 + 1X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 proper head X -> head proper X 0 + 1X >= 0 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper snd X -> snd proper X 0 + 1X >= 0 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X} SCC (24): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3, proper# head X -> proper# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 1, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [proper#](x0) = x0 Strict: proper# head X -> proper# X 1 + 1X >= 0 + 1X proper# U41(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 0 proper nil() -> ok nil() 2 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 1X3 + 0X4 >= 2 + 0X1 + 1X2 + 1X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 1X3 + 0X4 >= 2 + 0X1 + 1X2 + 1X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 1X3 + 0X4 >= 2 + 0X1 + 1X2 + 1X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 2 + 1X >= 2 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 1 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 0X >= 0 + 0X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3} SCC (23): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3, proper# U41(X1, X2, X3) -> proper# X1, proper# U41(X1, X2, X3) -> proper# X2, proper# U41(X1, X2, X3) -> proper# X3} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = x0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [proper#](x0) = x0 Strict: proper# U41(X1, X2, X3) -> proper# X3 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U41(X1, X2, X3) -> proper# X2 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U41(X1, X2, X3) -> proper# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U42(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 0 proper nil() -> ok nil() 2 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 1X3 + 0X4 >= 2 + 0X1 + 1X2 + 1X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 1X3 + 0X4 >= 2 + 0X1 + 1X2 + 1X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 1X3 + 0X4 >= 2 + 0X1 + 1X2 + 1X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 2 + 1X >= 2 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 2 + 1X1 + 1X2 + 1X3 >= 4 + 1X1 + 1X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 1 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 0X >= 0 + 0X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3} SCC (20): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X1, proper# U42(X1, X2, X3) -> proper# X2, proper# U42(X1, X2, X3) -> proper# X3} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1 + 1, [take](x0, x1) = 0, [mark](x0) = 1, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U42(X1, X2, X3) -> proper# X3 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U42(X1, X2, X3) -> proper# X2 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U42(X1, X2, X3) -> proper# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U31(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 1 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> mark natsFrom X 2 + 0X >= 1 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 1 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 2 + 0X >= 1 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 1X >= 0 + 1X snd mark X -> mark snd X 1 + 0X >= 1 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 1 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 1 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 1 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 1 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 1 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 1 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 1 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 1 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 1 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 1 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 1 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2} SCC (17): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + 1, [take](x0, x1) = 0, [mark](x0) = 1, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [proper#](x0) = x0 Strict: proper# U31(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# U31(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# U32(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 0X >= 1 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 1 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 1X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 1X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 1X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 0X >= 1 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 1 + 0X >= 1 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 1 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 1 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 1 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 1 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 1 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 1 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 1 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 1 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 1 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 1 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 1 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2} SCC (15): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U32(X1, X2) -> proper# X1, proper# U32(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1 + 1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [proper#](x0) = x0 Strict: proper# U32(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# U32(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# U21(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2} SCC (13): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1 + 1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [proper#](x0) = x0 Strict: proper# U21(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# U21(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# U22(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 2 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 1X3 + 0X4 >= 2 + 1X1 + 0X2 + 1X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 2 + 1X >= 2 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 2 + 1X1 + 1X2 >= 3 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 1X3 + 0X4 >= 1 + 1X1 + 0X2 + 1X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2} SCC (11): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U22(X1, X2) -> proper# X1, proper# U22(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1 + 1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [proper#](x0) = x0 Strict: proper# U22(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# U22(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# splitAt(X1, X2) -> proper# X2 0 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 0 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 1X >= 1 + 1X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 + 0X2 + 0X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 + 0X2 + 0X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 proper snd X -> snd proper X 0 + 1X >= 0 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 1X3 + 0X4 >= 1 + 0X1 + 1X2 + 1X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2} SCC (9): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1 + 1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [proper#](x0) = x0 Strict: proper# splitAt(X1, X2) -> proper# X2 1 + 1X1 + 1X2 >= 0 + 1X2 proper# splitAt(X1, X2) -> proper# X1 1 + 1X1 + 1X2 >= 0 + 1X1 proper# snd X -> proper# X 0 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 1 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X} SCC (7): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 1, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [proper#](x0) = x0 Strict: proper# snd X -> proper# X 1 + 1X >= 0 + 1X proper# U11(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 1 + 0X >= 0 + 0X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 1 + 0X >= 0 + 0X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 0X >= 0 + 0X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3} SCC (6): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0 + x1 + x2, [U11](x0, x1, x2) = x0 + x1 + x2 + 1, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = x0, [splitAt](x0, x1) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [proper#](x0) = x0 Strict: proper# U11(X1, X2, X3) -> proper# X3 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U11(X1, X2, X3) -> proper# X2 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U11(X1, X2, X3) -> proper# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 proper# U12(X1, X2, X3) -> proper# X3 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 2 >= 2 proper nil() -> ok nil() 2 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 2 + 1X >= 2 + 1X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 2 + 1X >= 2 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 2 + 1X >= 2 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 2 + 1X1 + 1X2 + 1X3 >= 4 + 1X1 + 1X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 1X3 >= 3 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 3 + 1X1 + 1X2 + 1X3 >= 1 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3} SCC (3): Strict: {proper# U12(X1, X2, X3) -> proper# X1, proper# U12(X1, X2, X3) -> proper# X2, proper# U12(X1, X2, X3) -> proper# X3} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [proper#](x0) = x0 Strict: proper# U12(X1, X2, X3) -> proper# X3 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X3 proper# U12(X1, X2, X3) -> proper# X2 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X2 proper# U12(X1, X2, X3) -> proper# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 proper tail X -> tail proper X 2 + 1X >= 2 + 1X proper 0() -> ok 0() 2 >= 2 proper nil() -> ok nil() 2 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 2 + 1X >= 2 + 1X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 2 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 2 + 1X >= 2 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 2 + 1X >= 2 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 2 + 1X1 + 1X2 + 1X3 >= 4 + 1X1 + 1X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (35): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# natsFrom X -> active# X, active# s X -> active# X, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2, active# tail X -> active# X, active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U63](x0, x1, x2, x3) = x0, [U12](x0, x1, x2) = x0, [U11](x0, x1, x2) = x0, [U42](x0, x1, x2) = x0, [U41](x0, x1, x2) = x0, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = x0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0, [U21](x0, x1) = x0, [U32](x0, x1) = x0, [U31](x0, x1) = x0, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0, [U51](x0, x1) = x0, [U64](x0, x1) = x0, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0, [U72](x0, x1) = x0, [U71](x0, x1) = x0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1 + 1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0, [natsFrom](x0) = x0, [s](x0) = x0, [tail](x0) = x0, [proper](x0) = 0, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# take(X1, X2) -> active# X2 1 + 1X1 + 1X2 >= 0 + 1X2 active# take(X1, X2) -> active# X1 1 + 1X1 + 1X2 >= 0 + 1X1 active# tail X -> active# X 0 + 1X >= 0 + 1X active# sel(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# sel(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# s X -> active# X 0 + 1X >= 0 + 1X active# natsFrom X -> active# X 0 + 1X >= 0 + 1X active# fst X -> active# X 0 + 1X >= 0 + 1X active# U81(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U82(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U71(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U72(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# cons(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 0 proper nil() -> ok nil() 0 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 0 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 0 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# natsFrom X -> active# X, active# s X -> active# X, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2, active# tail X -> active# X} SCC (33): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# natsFrom X -> active# X, active# s X -> active# X, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2, active# tail X -> active# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0, [U21](x0, x1) = x0, [U32](x0, x1) = x0, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0, [U51](x0, x1) = x0, [U64](x0, x1) = x0, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0, [U72](x0, x1) = x0, [U71](x0, x1) = x0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0, [natsFrom](x0) = x0, [s](x0) = x0, [tail](x0) = x0 + 1, [proper](x0) = x0 + 1, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# tail X -> active# X 1 + 1X >= 0 + 1X active# sel(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# sel(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# s X -> active# X 0 + 1X >= 0 + 1X active# natsFrom X -> active# X 0 + 1X >= 0 + 1X active# fst X -> active# X 0 + 1X >= 0 + 1X active# U81(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 active# U82(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U71(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U72(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# cons(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 1X2 + 0X3 + 0X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 1X2 + 0X3 + 0X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 1X2 + 0X3 + 0X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 2 + 1X >= 2 + 1X proper 0() -> ok 0() 1 >= 0 proper nil() -> ok nil() 1 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 1 + 1X >= 1 + 1X proper natsFrom X -> natsFrom proper X 1 + 1X >= 1 + 1X proper fst X -> fst proper X 1 + 1X >= 1 + 1X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 0X3 + 0X4 >= 2 + 1X1 + 1X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 0X3 + 0X4 >= 2 + 1X1 + 1X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 0X3 + 0X4 >= 2 + 1X1 + 1X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper tt() -> ok tt() 1 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 1 + 0X >= 0 + 0X tail mark X -> mark tail X 1 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 0 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# natsFrom X -> active# X, active# s X -> active# X, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2} SCC (32): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# natsFrom X -> active# X, active# s X -> active# X, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0, [natsFrom](x0) = x0, [s](x0) = x0 + 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# sel(X1, X2) -> active# X2 1 + 1X1 + 1X2 >= 0 + 1X2 active# sel(X1, X2) -> active# X1 1 + 1X1 + 1X2 >= 0 + 1X1 active# s X -> active# X 1 + 1X >= 0 + 1X active# natsFrom X -> active# X 0 + 1X >= 0 + 1X active# fst X -> active# X 0 + 1X >= 0 + 1X active# U81(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U82(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U71(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U72(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# cons(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 1 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 2 + 1X >= 2 + 1X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 1 + 1X >= 1 + 1X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 1 + 1X >= 1 + 1X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# natsFrom X -> active# X} SCC (29): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X, active# natsFrom X -> active# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# natsFrom X -> active# X 1 + 1X >= 0 + 1X active# fst X -> active# X 0 + 1X >= 0 + 1X active# U81(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U82(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U71(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U72(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# cons(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 1 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 1X >= 1 + 1X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 1 + 1X >= 1 + 1X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X} SCC (28): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1, active# fst X -> active# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = x0 + 1, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# fst X -> active# X 1 + 1X >= 0 + 1X active# U81(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U82(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U71(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U72(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# cons(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 1 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1} SCC (27): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1 + x2 + 1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# U81(X1, X2, X3) -> active# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 active# U82(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U71(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U72(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# cons(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 1X3 + 0X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 1 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 1X3 + 0X4 >= 1 + 1X1 + 0X2 + 1X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1} SCC (26): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1, active# U82(X1, X2, X3) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# U82(X1, X2, X3) -> active# X1 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U71(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U72(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# cons(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 1 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1} SCC (25): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = x0 + 1, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# U71(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# U72(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# cons(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper tail X -> tail proper X 2 + 1X >= 2 + 1X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 1 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 1 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 0 + 0X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 1 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 1 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1} SCC (24): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1, active# U72(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + x1, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# U72(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# cons(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 1X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 1X2 + 1X3 + 1X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 1 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 1 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 0 + 0X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 1 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1} SCC (23): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# cons(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U63](x0, x1, x2, x3) = x0, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0, [U42](x0, x1, x2) = x0, [U41](x0, x1, x2) = x0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0, [U21](x0, x1) = x0, [U32](x0, x1) = x0, [U31](x0, x1) = x0, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0, [U51](x0, x1) = x0, [U64](x0, x1) = x0, [pair](x0, x1) = x0 + x1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 0, [0] = 0, [active#](x0) = x0 Strict: active# cons(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# pair(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 1 + 1X >= 1 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 1X >= 0 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 1X >= 0 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 1 + 1X + 0YS + 1ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 1N + 1XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2} SCC (22): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U63](x0, x1, x2, x3) = x0, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0, [U42](x0, x1, x2) = x0, [U41](x0, x1, x2) = x0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0, [U21](x0, x1) = x0, [U32](x0, x1) = x0, [U31](x0, x1) = x0, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0, [U64](x0, x1) = x0, [pair](x0, x1) = x0 + x1 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0 + 1, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = x0 + 1, [ok](x0) = 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# pair(X1, X2) -> active# X2 1 + 1X1 + 1X2 >= 0 + 1X2 active# pair(X1, X2) -> active# X1 1 + 1X1 + 1X2 >= 0 + 1X1 active# U64(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 2 + 1X >= 2 + 1X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 2 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 2 + 1X1 + 1X2 >= 3 + 1X1 + 1X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 tail ok X -> ok tail X 2 + 0X >= 1 + 0X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 1 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 1 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 3 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(X1, mark X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 head ok X -> ok head X 1 + 0X >= 1 + 0X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 snd ok X -> ok snd X 1 + 0X >= 1 + 0X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 1 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 2 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 1 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 1 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 3 + 0X + 0YS + 1ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 1 + 1N + 1XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 1 + 1Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 1 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 1 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 1 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 3 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 1 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1} SCC (20): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1, active# U64(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U63](x0, x1, x2, x3) = x0, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0, [U42](x0, x1, x2) = x0, [U41](x0, x1, x2) = x0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0, [U21](x0, x1) = x0, [U32](x0, x1) = x0, [U31](x0, x1) = x0, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0, [U51](x0, x1) = x0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U64(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# U63(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 1 + 1X >= 0 + 0X top mark X -> top proper X 0 + 1X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 1X >= 0 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 1X >= 0 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 1 + 1N + 1XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1} SCC (19): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1, active# U63(X1, X2, X3, X4) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U63](x0, x1, x2, x3) = x0 + 1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0, [U42](x0, x1, x2) = x0, [U41](x0, x1, x2) = x0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0, [U21](x0, x1) = x0, [U32](x0, x1) = x0, [U31](x0, x1) = x0, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0, [U51](x0, x1) = x0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0 + 1, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U63(X1, X2, X3, X4) -> active# X1 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U61(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 1 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 1 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 2 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 1 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 1 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 1 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 1 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 1 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 1 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 1 + 1N + 1XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 1 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1} SCC (18): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2, X3, X4) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + 1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0, [U21](x0, x1) = x0, [U32](x0, x1) = x0, [U31](x0, x1) = x0, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0, [U51](x0, x1) = x0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = 1, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = x0 + 1, [ok](x0) = 0, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U61(X1, X2, X3, X4) -> active# X1 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U62(X1, X2, X3, X4) -> active# X1 0 + 1X1 + 1X2 + 0X3 + 0X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 2 + 1X >= 2 + 1X proper 0() -> ok 0() 1 >= 0 proper nil() -> ok nil() 2 >= 0 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 1X3 + 0X4 >= 2 + 0X1 + 1X2 + 1X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 0X3 + 0X4 >= 2 + 1X1 + 1X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper tt() -> ok tt() 1 >= 0 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 tail ok X -> ok tail X 1 + 0X >= 0 + 0X tail mark X -> mark tail X 2 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 0 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 1 + 0X >= 0 + 0X natsFrom mark X -> mark natsFrom X 2 + 0X >= 1 + 0X fst ok X -> ok fst X 0 + 0X >= 0 + 0X fst mark X -> mark fst X 0 + 0X >= 1 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 2 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 1 + 0X1 + 1X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 0 + 0X >= 0 + 0X head mark X -> mark head X 1 + 0X >= 1 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 0 + 0X >= 0 + 0X snd mark X -> mark snd X 1 + 0X >= 1 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 1 + 0XS active tail X -> tail active X 0 + 0X >= 1 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 1 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 1 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 1 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 1 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 1 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 1 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 1 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 1 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 1 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 1 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 1 + 0X1 + 1X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1} SCC (17): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1, active# U62(X1, X2, X3, X4) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0, [U41](x0, x1, x2) = x0, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0, [U21](x0, x1) = x0, [U32](x0, x1) = x0, [U31](x0, x1) = x0, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0, [U51](x0, x1) = x0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 0, [sel](x0, x1) = 0, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U62(X1, X2, X3, X4) -> active# X1 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 active# U51(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 2 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 + 1X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 1X >= 0 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 1X >= 0 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 1X1 + 1X2 + 0X3 >= 0 + 1X1 + 1X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 1 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 1N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 1N + 1XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1} SCC (16): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1, active# U51(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + 1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U51(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# U52(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1} SCC (15): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U52(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U52(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# afterNth(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 0 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2} SCC (14): Strict: { active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = x0 + x1 + 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# afterNth(X1, X2) -> active# X2 1 + 1X1 + 1X2 >= 0 + 1X2 active# afterNth(X1, X2) -> active# X1 1 + 1X1 + 1X2 >= 0 + 1X1 active# head X -> active# X 0 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 2 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 1X1 + 1X2 >= 3 + 1X1 + 1X2 proper head X -> head proper X 1 + 1X >= 1 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 1 + 1X >= 1 + 1X head mark X -> mark head X 0 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 0 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X} SCC (12): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1, active# head X -> active# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# head X -> active# X 1 + 1X >= 0 + 1X active# U41(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 2 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 1X2 + 1X3 >= 2 + 0X1 + 1X2 + 1X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 1X2 + 0X3 + 1X4 >= 2 + 0X1 + 1X2 + 0X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 2 + 1X >= 2 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 1X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1} SCC (11): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1, active# U41(X1, X2, X3) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1 + x2 + x3, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1 + x2 + 1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U41(X1, X2, X3) -> active# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 active# U42(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 2 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 1X2 + 1X3 >= 2 + 0X1 + 1X2 + 1X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 1X2 + 1X3 + 1X4 >= 4 + 1X1 + 1X2 + 1X3 + 1X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 2 + 1X >= 2 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 2 + 1X1 + 1X2 + 1X3 >= 4 + 1X1 + 1X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 4 + 1X1 + 1X2 + 1X3 + 1X4 >= 1 + 1X1 + 1X2 + 1X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 1X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 1 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 1X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1} SCC (10): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# U42(X1, X2, X3) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1 + x2 + 1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1 + 1, [take](x0, x1) = 0, [mark](x0) = 1, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U42(X1, X2, X3) -> active# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 active# U31(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 3 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 4 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 0X >= 1 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 1 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 1X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 1X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 1X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 1X2 + 0X3 + 1X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 0X >= 1 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 1X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 1 + 0X >= 1 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 1 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 1 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 1 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 1 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 1X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 1 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 1 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 1 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 1X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 1 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 1 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 1 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 1 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 1 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1} SCC (9): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U31(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# U32(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1} SCC (8): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1, active# U32(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U32(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# U21(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1} SCC (7): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U21(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# U22(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 1 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 0X1 + 1X2 + 1X3 >= 1 + 0X1 + 1X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 1X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1} SCC (6): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U22(X1, X2) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = 0, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + x1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = 0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 0, [active#](x0) = x0 Strict: active# U22(X1, X2) -> active# X1 1 + 1X1 + 0X2 >= 0 + 1X1 active# splitAt(X1, X2) -> active# X2 0 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 0 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 1 >= 1 proper nil() -> ok nil() 2 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper s X -> s proper X 2 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 2 + 1X >= 2 + 1X proper fst X -> fst proper X 1 + 0X >= 0 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 1X1 + 1X2 + 0X3 >= 2 + 1X1 + 1X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 1X3 + 0X4 >= 2 + 1X1 + 0X2 + 1X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 1X1 + 0X2 + 0X3 + 1X4 >= 2 + 1X1 + 0X2 + 0X3 + 1X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 2 + 1X >= 2 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 proper snd X -> snd proper X 1 + 1X >= 1 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 0X >= 0 + 0X fst ok X -> ok fst X 0 + 0X >= 1 + 0X fst mark X -> mark fst X 0 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 1X2 + 0X3 >= 1 + 1X1 + 1X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 1X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 1X3 + 0X4 >= 1 + 1X1 + 0X2 + 1X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 1X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 0 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 1X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 1X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2} SCC (5): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1, [U61](x0, x1, x2, x3) = x0 + x1, [U63](x0, x1, x2, x3) = x0 + x1, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0 + x1, [U42](x0, x1, x2) = x0 + x1, [U41](x0, x1, x2) = x0 + x1, [U82](x0, x1, x2) = x0 + x1, [U81](x0, x1, x2) = x0 + x1, [splitAt](x0, x1) = x0 + x1 + 1, [U22](x0, x1) = x0 + x1, [U21](x0, x1) = x0 + x1, [U32](x0, x1) = x0 + x1, [U31](x0, x1) = x0 + x1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + x1, [U51](x0, x1) = x0 + x1, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 1, [U72](x0, x1) = x0 + x1, [U71](x0, x1) = x0 + x1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + x1, [mark](x0) = 0, [active](x0) = 0, [snd](x0) = x0, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [active#](x0) = x0 Strict: active# splitAt(X1, X2) -> active# X2 1 + 1X1 + 1X2 >= 0 + 1X2 active# splitAt(X1, X2) -> active# X1 1 + 1X1 + 1X2 >= 0 + 1X1 active# snd X -> active# X 0 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 0 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 0 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 1 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 0X >= 0 + 0X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 1X4 >= 1 + 1X1 + 0X2 + 0X3 + 1X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 0X >= 0 + 0X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 1X1 + 0X2 >= 0 + 0X1 + 0X2 snd ok X -> ok snd X 1 + 1X >= 1 + 1X snd mark X -> mark snd X 0 + 0X >= 0 + 0X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 0 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 0XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 0 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 0Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 0N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 0X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 0 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 1X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 0 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 0X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X} SCC (3): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + x1 + x2 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1, [U11](x0, x1, x2) = x0, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = 1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = 0, [s](x0) = 0, [tail](x0) = 0, [proper](x0) = x0 + 1, [ok](x0) = 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [active#](x0) = x0 Strict: active# snd X -> active# X 1 + 1X >= 0 + 1X active# U11(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 0 + 0X proper 0() -> ok 0() 2 >= 1 proper nil() -> ok nil() 2 >= 1 proper sel(X1, X2) -> sel(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 0 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 0 + 0X proper fst X -> fst proper X 2 + 1X >= 2 + 1X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 2 + 1X1 + 1X2 + 1X3 + 0X4 >= 4 + 1X1 + 1X2 + 1X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 2 + 1X >= 2 + 1X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 2 + 1X >= 2 + 1X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 1X1 + 0X2 + 1X3 >= 2 + 1X1 + 0X2 + 1X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 0 + 0X >= 1 + 0X s mark X -> mark s X 0 + 0X >= 0 + 0X natsFrom ok X -> ok natsFrom X 0 + 0X >= 1 + 0X natsFrom mark X -> mark natsFrom X 0 + 0X >= 0 + 0X fst ok X -> ok fst X 2 + 0X >= 1 + 0X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 4 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 1 + 1X1 + 1X2 + 1X3 + 0X4 >= 1 + 1X1 + 1X2 + 1X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 0X >= 1 + 0X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 0X >= 1 + 0X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 1 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 0 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 0 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 1 + 1N + 0XS + 1X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 1X2 + 1X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1} SCC (2): Strict: {active# U12(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0 + x1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = 0, [U41](x0, x1, x2) = 0, [U82](x0, x1, x2) = 0, [U81](x0, x1, x2) = 0, [splitAt](x0, x1) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = 0, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [active#](x0) = x0 Strict: active# U11(X1, X2, X3) -> active# X1 1 + 1X1 + 0X2 + 0X3 >= 0 + 1X1 active# U12(X1, X2, X3) -> active# X1 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 1 + 1X1 + 0X2 + 0X3 >= 1 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 1 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: {active# U12(X1, X2, X3) -> active# X1} SCC (1): Strict: {active# U12(X1, X2, X3) -> active# X1} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [active#](x0) = x0 Strict: active# U12(X1, X2, X3) -> active# X1 1 + 1X1 + 1X2 + 1X3 >= 0 + 1X1 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (3): Strict: { take#(X1, mark X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = 0, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + x1 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [take#](x0, x1) = x0 + 1 Strict: take#(ok X1, ok X2) -> take#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 take#(mark X1, X2) -> take#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 take#(X1, mark X2) -> take#(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 2 + 0X proper 0() -> ok 0() 1 >= 2 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 3 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 2 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 4 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 1 + 1X >= 1 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(X1, mark X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 3 + 1N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 1X + 1Y >= 1 + 0X active fst X -> fst active X 1 + 1X >= 1 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 3 + 0X + 1YS + 1ZS >= 3 + 1X + 0YS + 1ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 3 + 1N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 3 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 3 + 1X + 1Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {take#(X1, mark X2) -> take#(X1, X2)} SCC (1): Strict: {take#(X1, mark X2) -> take#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [take#](x0, x1) = x0 Strict: take#(X1, mark X2) -> take#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: {tail# mark X -> tail# X, tail# ok X -> tail# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U12](x0, x1, x2) = x0 + x1, [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) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [tail#](x0) = x0 Strict: tail# ok X -> tail# X 1 + 1X >= 0 + 1X tail# mark X -> tail# X 0 + 1X >= 0 + 1X Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: {tail# mark X -> tail# X} SCC (1): Strict: {tail# mark X -> tail# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [tail#](x0) = x0 Strict: tail# mark X -> tail# X 1 + 1X >= 0 + 1X Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (3): Strict: { sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = 0, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + x1 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [sel#](x0, x1) = x0 + 1 Strict: sel#(ok X1, ok X2) -> sel#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 sel#(mark X1, X2) -> sel#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 sel#(X1, mark X2) -> sel#(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 2 + 0X proper 0() -> ok 0() 1 >= 2 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 3 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 2 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 4 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 1 + 1X >= 1 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(X1, mark X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 3 + 1N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 1X + 1Y >= 1 + 0X active fst X -> fst active X 1 + 1X >= 1 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 3 + 0X + 1YS + 1ZS >= 3 + 1X + 0YS + 1ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 3 + 1N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 3 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 3 + 1X + 1Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {sel#(X1, mark X2) -> sel#(X1, X2)} SCC (1): Strict: {sel#(X1, mark X2) -> sel#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [sel#](x0, x1) = x0 Strict: sel#(X1, mark X2) -> sel#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: {s# mark X -> s# X, s# ok X -> s# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U12](x0, x1, x2) = x0 + x1, [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) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [s#](x0) = x0 Strict: s# ok X -> s# X 1 + 1X >= 0 + 1X s# mark X -> s# X 0 + 1X >= 0 + 1X Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: {s# mark X -> s# X} SCC (1): Strict: {s# mark X -> s# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [s#](x0) = x0 Strict: s# mark X -> s# X 1 + 1X >= 0 + 1X Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: {natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U12](x0, x1, x2) = x0 + x1, [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) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [natsFrom#](x0) = x0 Strict: natsFrom# ok X -> natsFrom# X 1 + 1X >= 0 + 1X natsFrom# mark X -> natsFrom# X 0 + 1X >= 0 + 1X Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: {natsFrom# mark X -> natsFrom# X} SCC (1): Strict: {natsFrom# mark X -> natsFrom# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [natsFrom#](x0) = x0 Strict: natsFrom# mark X -> natsFrom# X 1 + 1X >= 0 + 1X Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: {fst# mark X -> fst# X, fst# ok X -> fst# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U12](x0, x1, x2) = x0 + x1, [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) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [fst#](x0) = x0 Strict: fst# ok X -> fst# X 1 + 1X >= 0 + 1X fst# mark X -> fst# X 0 + 1X >= 0 + 1X Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: {fst# mark X -> fst# X} SCC (1): Strict: {fst# mark X -> fst# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [fst#](x0) = x0 Strict: fst# mark X -> fst# X 1 + 1X >= 0 + 1X Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U71#](x0, x1) = x0 Strict: U71#(ok X1, ok X2) -> U71#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U71#(mark X1, X2) -> U71#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U71#(mark X1, X2) -> U71#(X1, X2)} SCC (1): Strict: {U71#(mark X1, X2) -> U71#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [U71#](x0, x1) = x0 Strict: U71#(mark X1, X2) -> U71#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U72#(mark X1, X2) -> U72#(X1, X2), U72#(ok X1, ok X2) -> U72#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U72#](x0, x1) = x0 Strict: U72#(ok X1, ok X2) -> U72#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U72#(mark X1, X2) -> U72#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U72#(mark X1, X2) -> U72#(X1, X2)} SCC (1): Strict: {U72#(mark X1, X2) -> U72#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [U72#](x0, x1) = x0 Strict: U72#(mark X1, X2) -> U72#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [cons#](x0, x1) = x0 Strict: cons#(ok X1, ok X2) -> cons#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 cons#(mark X1, X2) -> cons#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {cons#(mark X1, X2) -> cons#(X1, X2)} SCC (1): Strict: {cons#(mark X1, X2) -> cons#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [cons#](x0, x1) = x0 Strict: cons#(mark X1, X2) -> cons#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U64#(mark X1, X2) -> U64#(X1, X2), U64#(ok X1, ok X2) -> U64#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U64#](x0, x1) = x0 Strict: U64#(ok X1, ok X2) -> U64#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U64#(mark X1, X2) -> U64#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U64#(mark X1, X2) -> U64#(X1, X2)} SCC (1): Strict: {U64#(mark X1, X2) -> U64#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [U64#](x0, x1) = x0 Strict: U64#(mark X1, X2) -> U64#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4), U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = x0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U63#](x0, x1, x2, x3) = x0 Strict: U63#(ok X1, ok X2, ok X3, ok X4) -> U63#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 2 + 0X proper 0() -> ok 0() 1 >= 2 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 2 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 2 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 4 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)} SCC (1): Strict: {U63#(mark X1, X2, X3, X4) -> U63#(X1, X2, X3, X4)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [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 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4), U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = x0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U62#](x0, x1, x2, x3) = x0 Strict: U62#(ok X1, ok X2, ok X3, ok X4) -> U62#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 2 + 0X proper 0() -> ok 0() 1 >= 2 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 2 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 2 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 4 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)} SCC (1): Strict: {U62#(mark X1, X2, X3, X4) -> U62#(X1, X2, X3, X4)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [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 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U52#(mark X1, X2) -> U52#(X1, X2), U52#(ok X1, ok X2) -> U52#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U52#](x0, x1) = x0 Strict: U52#(ok X1, ok X2) -> U52#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U52#(mark X1, X2) -> U52#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U52#(mark X1, X2) -> U52#(X1, X2)} SCC (1): Strict: {U52#(mark X1, X2) -> U52#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [U52#](x0, x1) = x0 Strict: U52#(mark X1, X2) -> U52#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (3): Strict: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = 0, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + x1 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [afterNth#](x0, x1) = x0 + 1 Strict: afterNth#(ok X1, ok X2) -> afterNth#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 afterNth#(mark X1, X2) -> afterNth#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 afterNth#(X1, mark X2) -> afterNth#(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 2 + 0X proper 0() -> ok 0() 1 >= 2 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 3 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 2 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 4 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 1 + 1X >= 1 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(X1, mark X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 3 + 1N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 1X + 1Y >= 1 + 0X active fst X -> fst active X 1 + 1X >= 1 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 3 + 0X + 1YS + 1ZS >= 3 + 1X + 0YS + 1ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 3 + 1N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 3 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 3 + 1X + 1Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {afterNth#(X1, mark X2) -> afterNth#(X1, X2)} SCC (1): Strict: {afterNth#(X1, mark X2) -> afterNth#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [afterNth#](x0, x1) = x0 Strict: afterNth#(X1, mark X2) -> afterNth#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: {head# mark X -> head# X, head# ok X -> head# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U12](x0, x1, x2) = x0 + x1, [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) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [head#](x0) = x0 Strict: head# ok X -> head# X 1 + 1X >= 0 + 1X head# mark X -> head# X 0 + 1X >= 0 + 1X Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: {head# mark X -> head# X} SCC (1): Strict: {head# mark X -> head# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [head#](x0) = x0 Strict: head# mark X -> head# X 1 + 1X >= 0 + 1X Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U31#](x0, x1) = x0 Strict: U31#(ok X1, ok X2) -> U31#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U31#(mark X1, X2) -> U31#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U31#(mark X1, X2) -> U31#(X1, X2)} SCC (1): Strict: {U31#(mark X1, X2) -> U31#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [U31#](x0, x1) = x0 Strict: U31#(mark X1, X2) -> U31#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U32#(mark X1, X2) -> U32#(X1, X2), U32#(ok X1, ok X2) -> U32#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U32#](x0, x1) = x0 Strict: U32#(ok X1, ok X2) -> U32#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U32#(mark X1, X2) -> U32#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U32#(mark X1, X2) -> U32#(X1, X2)} SCC (1): Strict: {U32#(mark X1, X2) -> U32#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [U32#](x0, x1) = x0 Strict: U32#(mark X1, X2) -> U32#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U21#](x0, x1) = x0 Strict: U21#(ok X1, ok X2) -> U21#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U21#(mark X1, X2) -> U21#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U21#(mark X1, X2) -> U21#(X1, X2)} SCC (1): Strict: {U21#(mark X1, X2) -> U21#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [U21#](x0, x1) = x0 Strict: U21#(mark X1, X2) -> U21#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U22#(mark X1, X2) -> U22#(X1, X2), U22#(ok X1, ok X2) -> U22#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U22#](x0, x1) = x0 Strict: U22#(ok X1, ok X2) -> U22#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U22#(mark X1, X2) -> U22#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U22#(mark X1, X2) -> U22#(X1, X2)} SCC (1): Strict: {U22#(mark X1, X2) -> U22#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [U22#](x0, x1) = x0 Strict: U22#(mark X1, X2) -> U22#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (3): Strict: { pair#(X1, mark X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = 0, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + x1 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [pair#](x0, x1) = x0 + 1 Strict: pair#(ok X1, ok X2) -> pair#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair#(mark X1, X2) -> pair#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair#(X1, mark X2) -> pair#(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 2 + 0X proper 0() -> ok 0() 1 >= 2 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 3 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 2 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 4 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 1 + 1X >= 1 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(X1, mark X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 3 + 1N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 1X + 1Y >= 1 + 0X active fst X -> fst active X 1 + 1X >= 1 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 3 + 0X + 1YS + 1ZS >= 3 + 1X + 0YS + 1ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 3 + 1N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 3 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 3 + 1X + 1Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {pair#(X1, mark X2) -> pair#(X1, X2)} SCC (1): Strict: {pair#(X1, mark X2) -> pair#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [pair#](x0, x1) = x0 Strict: pair#(X1, mark X2) -> pair#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4), U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = x0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U61#](x0, x1, x2, x3) = x0 Strict: U61#(ok X1, ok X2, ok X3, ok X4) -> U61#(X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 1X4 >= 0 + 0X1 + 0X2 + 0X3 + 1X4 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 2 + 0X proper 0() -> ok 0() 1 >= 2 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 2 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 2 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 4 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)} SCC (1): Strict: {U61#(mark X1, X2, X3, X4) -> U61#(X1, X2, X3, X4)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [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 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U51#(mark X1, X2) -> U51#(X1, X2), U51#(ok X1, ok X2) -> U51#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U51#](x0, x1) = x0 Strict: U51#(ok X1, ok X2) -> U51#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 U51#(mark X1, X2) -> U51#(X1, X2) 0 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 1 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 1 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 1 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U51#(mark X1, X2) -> U51#(X1, X2)} SCC (1): Strict: {U51#(mark X1, X2) -> U51#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [U51#](x0, x1) = x0 Strict: U51#(mark X1, X2) -> U51#(X1, X2) 1 + 1X1 + 0X2 >= 0 + 1X1 + 0X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (3): Strict: { splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = 0, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + x1 + 1, [cons](x0, x1) = x0 + 1, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 1, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [splitAt#](x0, x1) = x0 + 1 Strict: splitAt#(ok X1, ok X2) -> splitAt#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 splitAt#(mark X1, X2) -> splitAt#(X1, X2) 2 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 splitAt#(X1, mark X2) -> splitAt#(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper tail X -> tail proper X 1 + 0X >= 2 + 0X proper 0() -> ok 0() 1 >= 2 proper nil() -> ok nil() 1 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper s X -> s proper X 1 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 1 + 0X >= 2 + 0X proper fst X -> fst proper X 1 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 1 + 0X1 + 0X2 >= 3 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 2 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 1 + 0X >= 2 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 1 + 0X >= 2 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 2 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 1 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 1 + 0X1 + 0X2 + 0X3 >= 4 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 1 + 1X >= 1 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 3 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(mark X1, X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 pair(X1, mark X2) -> mark pair(X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 3 + 1N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 2 + 1N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 1X + 1Y >= 1 + 0X active fst X -> fst active X 1 + 1X >= 1 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active pair(X1, X2) -> pair(X1, active X2) 2 + 1X1 + 1X2 >= 2 + 1X1 + 1X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 3 + 0X + 1YS + 1ZS >= 3 + 1X + 0YS + 1ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 3 + 1N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 1 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 3 + 1XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 3 + 1X + 1Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {splitAt#(X1, mark X2) -> splitAt#(X1, X2)} SCC (1): Strict: {splitAt#(X1, mark X2) -> splitAt#(X1, X2)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [splitAt#](x0, x1) = x0 Strict: splitAt#(X1, mark X2) -> splitAt#(X1, X2) 1 + 0X1 + 1X2 >= 0 + 0X1 + 1X2 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: {snd# mark X -> snd# X, snd# ok X -> snd# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} 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) = x0, [U12](x0, x1, x2) = x0 + x1, [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) = 1, [U22](x0, x1) = 0, [U21](x0, x1) = 0, [U32](x0, x1) = 0, [U31](x0, x1) = 0, [afterNth](x0, x1) = 1, [U52](x0, x1) = 0, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = x0 + 1, [cons](x0, x1) = 1, [U72](x0, x1) = 0, [U71](x0, x1) = 0, [sel](x0, x1) = x0 + x1, [take](x0, x1) = 0, [mark](x0) = x0, [active](x0) = 0, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = 0, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [snd#](x0) = x0 Strict: snd# ok X -> snd# X 1 + 1X >= 0 + 1X snd# mark X -> snd# X 0 + 1X >= 0 + 1X Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 0 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 take(mark X1, X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 take(X1, mark X2) -> mark take(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 tail ok X -> ok tail X 0 + 0X >= 1 + 0X tail mark X -> mark tail X 0 + 0X >= 0 + 0X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 1X1 + 1X2 >= 1 + 1X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 1X1 + 1X2 >= 0 + 1X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 1 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 1 + 1X >= 1 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 1 + 1X >= 1 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 1 + 1X1 + 0X2 >= 1 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 1 + 1X1 + 0X2 + 0X3 + 0X4 >= 1 + 1X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 1X1 + 0X2 + 0X3 + 0X4 >= 0 + 1X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 1 + 1X >= 1 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 1 + 1X >= 1 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(X1, X2) -> take(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active take(N, XS) -> mark U81(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 0 + 0N + 0XS >= 0 + 0XS active tail X -> tail active X 0 + 0X >= 0 + 0X active sel(X1, X2) -> sel(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 0 + 0X1 + 0X2 >= 0 + 1X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active s X -> s active X 0 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 0 + 0X >= 1 + 0X active natsFrom N -> mark cons(N, natsFrom s N) 0 + 0N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 0 + 0X + 0Y >= 0 + 0X active fst X -> fst active X 0 + 0X >= 1 + 0X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 0 + 0XS >= 0 + 0XS active U71(X1, X2) -> U71(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 0 + 0XS >= 0 + 1XS active U72(X1, X2) -> U72(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 1X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 0 + 0X + 0YS + 0ZS >= 2 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 0 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 0 + 0Y >= 0 + 0Y active U51(X1, X2) -> U51(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 0 + 0Y >= 0 + 1Y active U52(X1, X2) -> U52(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 0 + 0N + 0XS >= 0 + 0N active head X -> head active X 0 + 0X >= 1 + 0X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 0 + 0N >= 0 + 0N active U31(X1, X2) -> U31(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U32(tt(), N) -> mark N 0 + 0N >= 0 + 1N active U32(X1, X2) -> U32(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 0 + 0X >= 0 + 0X active U21(X1, X2) -> U21(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U22(tt(), X) -> mark X 0 + 0X >= 0 + 1X active U22(X1, X2) -> U22(active X1, X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 0 + 0XS >= 2 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 0 + 0N + 0XS + 0X >= 0 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 0 + 0X + 0Y >= 0 + 0Y active snd X -> snd active X 0 + 0X >= 1 + 0X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 0 + 0N + 0XS >= 0 + 0N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 0 + 0N + 0XS >= 2 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 0 + 0X1 + 0X2 + 0X3 >= 0 + 0X1 + 0X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 2 + 1X1 + 0X2 + 1X3 >= 1 + 1X1 + 0X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 0 + 1X1 + 0X2 + 1X3 >= 0 + 1X1 + 0X2 + 1X3 SCCS (1): Scc: {snd# mark X -> snd# X} SCC (1): Strict: {snd# mark X -> snd# X} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [nil] = 1, [0] = 1, [snd#](x0) = x0 Strict: snd# mark X -> snd# X 1 + 1X >= 0 + 1X Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U81#(mark X1, X2, X3) -> U81#(X1, X2, X3), U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U81#](x0, x1, x2) = x0 Strict: U81#(ok X1, ok X2, ok X3) -> U81#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U81#(mark X1, X2, X3) -> U81#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)} SCC (1): Strict: {U81#(mark X1, X2, X3) -> U81#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [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 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U82#(mark X1, X2, X3) -> U82#(X1, X2, X3), U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U82#](x0, x1, x2) = x0 Strict: U82#(ok X1, ok X2, ok X3) -> U82#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U82#(mark X1, X2, X3) -> U82#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)} SCC (1): Strict: {U82#(mark X1, X2, X3) -> U82#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [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 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U41#(mark X1, X2, X3) -> U41#(X1, X2, X3), U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U41#](x0, x1, x2) = x0 Strict: U41#(ok X1, ok X2, ok X3) -> U41#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U41#(mark X1, X2, X3) -> U41#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)} SCC (1): Strict: {U41#(mark X1, X2, X3) -> U41#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [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 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U42#(mark X1, X2, X3) -> U42#(X1, X2, X3), U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U42#](x0, x1, x2) = x0 Strict: U42#(ok X1, ok X2, ok X3) -> U42#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U42#(mark X1, X2, X3) -> U42#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)} SCC (1): Strict: {U42#(mark X1, X2, X3) -> U42#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [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 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U11#](x0, x1, x2) = x0 Strict: U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U11#(mark X1, X2, X3) -> U11#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)} SCC (1): Strict: {U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [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 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed SCC (2): Strict: { U12#(mark X1, X2, X3) -> U12#(X1, X2, X3), U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = 1, [sel](x0, x1) = x0 + 1, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = 0, [tt] = 0, [nil] = 1, [0] = 1, [U12#](x0, x1, x2) = x0 Strict: U12#(ok X1, ok X2, ok X3) -> U12#(X1, X2, X3) 1 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 U12#(mark X1, X2, X3) -> U12#(X1, X2, X3) 0 + 0X1 + 0X2 + 1X3 >= 0 + 0X1 + 0X2 + 1X3 Weak: top ok X -> top active X 0 + 0X >= 0 + 0X top mark X -> top proper X 0 + 0X >= 0 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(mark X1, X2) -> mark sel(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 sel(X1, mark X2) -> mark sel(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active sel(X1, X2) -> sel(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active sel(N, XS) -> mark U41(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 SCCS (1): Scc: {U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)} SCC (1): Strict: {U12#(mark X1, X2, X3) -> U12#(X1, X2, X3)} Weak: { U12(mark X1, X2, X3) -> mark U12(X1, X2, X3), U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3), active U12(X1, X2, X3) -> U12(active X1, X2, X3), active U12(tt(), N, XS) -> mark snd splitAt(N, XS), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark U12(tt(), N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U51(tt(), Y), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS), active splitAt(0(), XS) -> mark pair(nil(), XS), active U22(X1, X2) -> U22(active X1, X2), active U22(tt(), X) -> mark X, active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark U22(tt(), X), active U32(X1, X2) -> U32(active X1, X2), active U32(tt(), N) -> mark N, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark U32(tt(), N), active U42(X1, X2, X3) -> U42(active X1, X2, X3), active U42(tt(), N, XS) -> mark head afterNth(N, XS), active U41(X1, X2, X3) -> U41(active X1, X2, X3), active U41(tt(), N, XS) -> mark U42(tt(), N, XS), active head X -> head active X, active head cons(N, XS) -> mark U31(tt(), N), active afterNth(N, XS) -> mark U11(tt(), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U52(X1, X2) -> U52(active X1, X2), active U52(tt(), Y) -> mark Y, active U51(X1, X2) -> U51(active X1, X2), active U51(tt(), Y) -> mark U52(tt(), Y), active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4), active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS), active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4), active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS), active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4), active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X), active U64(X1, X2) -> U64(active X1, X2), active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active cons(X1, X2) -> cons(active X1, X2), active U72(X1, X2) -> U72(active X1, X2), active U72(tt(), XS) -> mark XS, active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark U72(tt(), XS), active U82(X1, X2, X3) -> U82(active X1, X2, X3), active U82(tt(), N, XS) -> mark fst splitAt(N, XS), active U81(X1, X2, X3) -> U81(active X1, X2, X3), active U81(tt(), N, XS) -> mark U82(tt(), N, XS), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(tt(), X), active natsFrom N -> mark cons(N, natsFrom s N), active natsFrom X -> natsFrom active X, active s X -> s active X, active sel(N, XS) -> mark U41(tt(), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), active tail X -> tail active X, active tail cons(N, XS) -> mark U71(tt(), XS), active take(N, XS) -> mark U81(tt(), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, splitAt(X1, mark X2) -> mark splitAt(X1, X2), splitAt(mark X1, X2) -> mark splitAt(X1, X2), splitAt(ok X1, ok X2) -> ok splitAt(X1, X2), U22(mark X1, X2) -> mark U22(X1, X2), U22(ok X1, ok X2) -> ok U22(X1, X2), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U32(mark X1, X2) -> mark U32(X1, X2), U32(ok X1, ok X2) -> ok U32(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), U42(mark X1, X2, X3) -> mark U42(X1, X2, X3), U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3), U41(mark X1, X2, X3) -> mark U41(X1, X2, X3), U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3), head mark X -> mark head X, head ok X -> ok head X, afterNth(X1, mark X2) -> mark afterNth(X1, X2), afterNth(mark X1, X2) -> mark afterNth(X1, X2), afterNth(ok X1, ok X2) -> ok afterNth(X1, X2), U52(mark X1, X2) -> mark U52(X1, X2), U52(ok X1, ok X2) -> ok U52(X1, X2), U51(mark X1, X2) -> mark U51(X1, X2), U51(ok X1, ok X2) -> ok U51(X1, X2), U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4), U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4), U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4), U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4), U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4), U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4), U64(mark X1, X2) -> mark U64(X1, X2), U64(ok X1, ok X2) -> ok U64(X1, X2), pair(X1, mark X2) -> mark pair(X1, X2), pair(mark X1, X2) -> mark pair(X1, X2), pair(ok X1, ok X2) -> ok pair(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), U72(mark X1, X2) -> mark U72(X1, X2), U72(ok X1, ok X2) -> ok U72(X1, X2), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2, X3) -> mark U82(X1, X2, X3), U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3), U81(mark X1, X2, X3) -> mark U81(X1, X2, X3), U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3), fst mark X -> mark fst X, fst ok X -> ok fst X, natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, sel(X1, mark X2) -> mark sel(X1, X2), sel(mark X1, X2) -> mark sel(X1, X2), sel(ok X1, ok X2) -> ok sel(X1, X2), tail mark X -> mark tail X, tail ok X -> ok tail X, take(X1, mark X2) -> mark take(X1, X2), take(mark X1, X2) -> mark take(X1, X2), take(ok X1, ok X2) -> ok take(X1, X2), proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper snd X -> snd proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U22(X1, X2) -> U22(proper X1, proper X2), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U32(X1, X2) -> U32(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3), proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U52(X1, X2) -> U52(proper X1, proper X2), proper U51(X1, X2) -> U51(proper X1, proper X2), proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4), proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4), proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4), proper U64(X1, X2) -> U64(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper U72(X1, X2) -> U72(proper X1, proper X2), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3), proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3), proper fst X -> fst proper X, proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper sel(X1, X2) -> sel(proper X1, proper X2), proper nil() -> ok nil(), proper 0() -> ok 0(), proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} POLY: Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true Interpretation: [U62](x0, x1, x2, x3) = x0 + 1, [U61](x0, x1, x2, x3) = 0, [U63](x0, x1, x2, x3) = 0, [U12](x0, x1, x2) = x0 + x1 + x2 + 1, [U11](x0, x1, x2) = x0 + 1, [U42](x0, x1, x2) = x0 + 1, [U41](x0, x1, x2) = x0 + 1, [U82](x0, x1, x2) = x0 + 1, [U81](x0, x1, x2) = x0 + 1, [splitAt](x0, x1) = 1, [U22](x0, x1) = x0 + 1, [U21](x0, x1) = x0 + 1, [U32](x0, x1) = x0 + 1, [U31](x0, x1) = x0 + 1, [afterNth](x0, x1) = 1, [U52](x0, x1) = x0 + 1, [U51](x0, x1) = 0, [U64](x0, x1) = x0 + 1, [pair](x0, x1) = 0, [cons](x0, x1) = 0, [U72](x0, x1) = x0 + 1, [U71](x0, x1) = x0 + 1, [sel](x0, x1) = 0, [take](x0, x1) = x0 + 1, [mark](x0) = x0 + 1, [active](x0) = x0 + 1, [snd](x0) = x0 + 1, [head](x0) = x0 + 1, [fst](x0) = x0 + 1, [natsFrom](x0) = x0 + 1, [s](x0) = 1, [tail](x0) = x0 + 1, [proper](x0) = 0, [ok](x0) = x0 + 1, [top](x0) = x0 + 1, [tt] = 0, [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 Weak: top ok X -> top active X 2 + 1X >= 2 + 1X top mark X -> top proper X 2 + 1X >= 1 + 0X proper take(X1, X2) -> take(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper tail X -> tail proper X 0 + 0X >= 1 + 0X proper 0() -> ok 0() 0 >= 2 proper nil() -> ok nil() 0 >= 2 proper sel(X1, X2) -> sel(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper s X -> s proper X 0 + 0X >= 1 + 0X proper natsFrom X -> natsFrom proper X 0 + 0X >= 1 + 0X proper fst X -> fst proper X 0 + 0X >= 1 + 0X proper U81(X1, X2, X3) -> U81(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U82(X1, X2, X3) -> U82(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U71(X1, X2) -> U71(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U72(X1, X2) -> U72(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper cons(X1, X2) -> cons(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper pair(X1, X2) -> pair(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U64(X1, X2) -> U64(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U63(X1, X2, X3, X4) -> U63(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U61(X1, X2, X3, X4) -> U61(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 proper U62(X1, X2, X3, X4) -> U62(proper X1, proper X2, proper X3, proper X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 proper U51(X1, X2) -> U51(proper X1, proper X2) 0 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 proper U52(X1, X2) -> U52(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper afterNth(X1, X2) -> afterNth(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper head X -> head proper X 0 + 0X >= 1 + 0X proper U41(X1, X2, X3) -> U41(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U42(X1, X2, X3) -> U42(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper U31(X1, X2) -> U31(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U32(X1, X2) -> U32(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U21(X1, X2) -> U21(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper U22(X1, X2) -> U22(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper splitAt(X1, X2) -> splitAt(proper X1, proper X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 proper snd X -> snd proper X 0 + 0X >= 1 + 0X proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 proper tt() -> ok tt() 0 >= 1 proper U12(X1, X2, X3) -> U12(proper X1, proper X2, proper X3) 0 + 0X1 + 0X2 + 0X3 >= 1 + 0X1 + 0X2 + 0X3 take(ok X1, ok X2) -> ok take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(mark X1, X2) -> mark take(X1, X2) 1 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 take(X1, mark X2) -> mark take(X1, X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 tail ok X -> ok tail X 2 + 1X >= 2 + 1X tail mark X -> mark tail X 2 + 1X >= 2 + 1X sel(ok X1, ok X2) -> ok sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(mark X1, X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 sel(X1, mark X2) -> mark sel(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 s ok X -> ok s X 1 + 0X >= 2 + 0X s mark X -> mark s X 1 + 0X >= 2 + 0X natsFrom ok X -> ok natsFrom X 2 + 1X >= 2 + 1X natsFrom mark X -> mark natsFrom X 2 + 1X >= 2 + 1X fst ok X -> ok fst X 2 + 1X >= 2 + 1X fst mark X -> mark fst X 2 + 1X >= 2 + 1X U81(ok X1, ok X2, ok X3) -> ok U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U81(mark X1, X2, X3) -> mark U81(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(ok X1, ok X2, ok X3) -> ok U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U82(mark X1, X2, X3) -> mark U82(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U71(ok X1, ok X2) -> ok U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U71(mark X1, X2) -> mark U71(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(ok X1, ok X2) -> ok U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U72(mark X1, X2) -> mark U72(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 cons(ok X1, ok X2) -> ok cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 cons(mark X1, X2) -> mark cons(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(ok X1, ok X2) -> ok pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(mark X1, X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 pair(X1, mark X2) -> mark pair(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U64(ok X1, ok X2) -> ok U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U64(mark X1, X2) -> mark U64(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U63(ok X1, ok X2, ok X3, ok X4) -> ok U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U63(mark X1, X2, X3, X4) -> mark U63(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(ok X1, ok X2, ok X3, ok X4) -> ok U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U61(mark X1, X2, X3, X4) -> mark U61(X1, X2, X3, X4) 0 + 0X1 + 0X2 + 0X3 + 0X4 >= 1 + 0X1 + 0X2 + 0X3 + 0X4 U62(ok X1, ok X2, ok X3, ok X4) -> ok U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U62(mark X1, X2, X3, X4) -> mark U62(X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 U51(ok X1, ok X2) -> ok U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U51(mark X1, X2) -> mark U51(X1, X2) 0 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 U52(ok X1, ok X2) -> ok U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U52(mark X1, X2) -> mark U52(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 afterNth(ok X1, ok X2) -> ok afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(mark X1, X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 afterNth(X1, mark X2) -> mark afterNth(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 head ok X -> ok head X 2 + 1X >= 2 + 1X head mark X -> mark head X 2 + 1X >= 2 + 1X U41(ok X1, ok X2, ok X3) -> ok U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U41(mark X1, X2, X3) -> mark U41(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(ok X1, ok X2, ok X3) -> ok U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U42(mark X1, X2, X3) -> mark U42(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U31(ok X1, ok X2) -> ok U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U31(mark X1, X2) -> mark U31(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(ok X1, ok X2) -> ok U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U32(mark X1, X2) -> mark U32(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(ok X1, ok X2) -> ok U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U21(mark X1, X2) -> mark U21(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(ok X1, ok X2) -> ok U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 U22(mark X1, X2) -> mark U22(X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 splitAt(ok X1, ok X2) -> ok splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(mark X1, X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 splitAt(X1, mark X2) -> mark splitAt(X1, X2) 1 + 0X1 + 0X2 >= 2 + 0X1 + 0X2 snd ok X -> ok snd X 2 + 1X >= 2 + 1X snd mark X -> mark snd X 2 + 1X >= 2 + 1X U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 U11(mark X1, X2, X3) -> mark U11(X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active take(X1, X2) -> take(active X1, X2) 2 + 0X1 + 1X2 >= 1 + 0X1 + 1X2 active take(X1, X2) -> take(X1, active X2) 2 + 0X1 + 1X2 >= 2 + 0X1 + 1X2 active take(N, XS) -> mark U81(tt(), N, XS) 2 + 0N + 1XS >= 2 + 0N + 0XS active tail cons(N, XS) -> mark U71(tt(), XS) 2 + 0N + 0XS >= 2 + 0XS active tail X -> tail active X 2 + 1X >= 2 + 1X active sel(X1, X2) -> sel(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(X1, X2) -> sel(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active sel(N, XS) -> mark U41(tt(), N, XS) 1 + 0N + 0XS >= 2 + 0N + 0XS active s X -> s active X 2 + 0X >= 1 + 0X active natsFrom X -> natsFrom active X 2 + 1X >= 2 + 1X active natsFrom N -> mark cons(N, natsFrom s N) 2 + 1N >= 1 + 0N active fst pair(X, Y) -> mark U21(tt(), X) 2 + 0X + 0Y >= 2 + 0X active fst X -> fst active X 2 + 1X >= 2 + 1X active U81(tt(), N, XS) -> mark U82(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U81(X1, X2, X3) -> U81(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U82(tt(), N, XS) -> mark fst splitAt(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U82(X1, X2, X3) -> U82(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U71(tt(), XS) -> mark U72(tt(), XS) 2 + 0XS >= 2 + 0XS active U71(X1, X2) -> U71(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U72(tt(), XS) -> mark XS 2 + 0XS >= 1 + 1XS active U72(X1, X2) -> U72(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active cons(X1, X2) -> cons(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active pair(X1, X2) -> pair(X1, active X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U64(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS) 2 + 0X + 0YS + 0ZS >= 1 + 0X + 0YS + 0ZS active U64(X1, X2) -> U64(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U63(tt(), N, X, XS) -> mark U64(splitAt(N, XS), X) 1 + 0N + 0XS + 0X >= 3 + 0N + 0XS + 0X active U63(X1, X2, X3, X4) -> U63(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U61(tt(), N, X, XS) -> mark U62(tt(), N, X, XS) 1 + 0N + 0XS + 0X >= 2 + 0N + 0XS + 0X active U61(X1, X2, X3, X4) -> U61(active X1, X2, X3, X4) 1 + 0X1 + 0X2 + 0X3 + 0X4 >= 0 + 0X1 + 0X2 + 0X3 + 0X4 active U62(tt(), N, X, XS) -> mark U63(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active U62(X1, X2, X3, X4) -> U62(active X1, X2, X3, X4) 2 + 1X1 + 0X2 + 0X3 + 0X4 >= 2 + 1X1 + 0X2 + 0X3 + 0X4 active U51(tt(), Y) -> mark U52(tt(), Y) 1 + 0Y >= 2 + 0Y active U51(X1, X2) -> U51(active X1, X2) 1 + 0X1 + 0X2 >= 0 + 0X1 + 0X2 active U52(tt(), Y) -> mark Y 2 + 0Y >= 1 + 1Y active U52(X1, X2) -> U52(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active afterNth(X1, X2) -> afterNth(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(X1, X2) -> afterNth(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active afterNth(N, XS) -> mark U11(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active head cons(N, XS) -> mark U31(tt(), N) 2 + 0N + 0XS >= 2 + 0N active head X -> head active X 2 + 1X >= 2 + 1X active U41(tt(), N, XS) -> mark U42(tt(), N, XS) 2 + 0N + 0XS >= 2 + 0N + 0XS active U41(X1, X2, X3) -> U41(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U42(tt(), N, XS) -> mark head afterNth(N, XS) 2 + 0N + 0XS >= 3 + 0N + 0XS active U42(X1, X2, X3) -> U42(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U31(tt(), N) -> mark U32(tt(), N) 2 + 0N >= 2 + 0N active U31(X1, X2) -> U31(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U32(tt(), N) -> mark N 2 + 0N >= 1 + 1N active U32(X1, X2) -> U32(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U21(tt(), X) -> mark U22(tt(), X) 2 + 0X >= 2 + 0X active U21(X1, X2) -> U21(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active U22(tt(), X) -> mark X 2 + 0X >= 1 + 1X active U22(X1, X2) -> U22(active X1, X2) 2 + 1X1 + 0X2 >= 2 + 1X1 + 0X2 active splitAt(0(), XS) -> mark pair(nil(), XS) 2 + 0XS >= 1 + 0XS active splitAt(s N, cons(X, XS)) -> mark U61(tt(), N, X, XS) 2 + 0N + 0XS + 0X >= 1 + 0N + 0XS + 0X active splitAt(X1, X2) -> splitAt(active X1, X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active splitAt(X1, X2) -> splitAt(X1, active X2) 2 + 0X1 + 0X2 >= 1 + 0X1 + 0X2 active snd pair(X, Y) -> mark U51(tt(), Y) 2 + 0X + 0Y >= 1 + 0Y active snd X -> snd active X 2 + 1X >= 2 + 1X active U11(tt(), N, XS) -> mark U12(tt(), N, XS) 2 + 0N + 0XS >= 2 + 1N + 1XS active U11(X1, X2, X3) -> U11(active X1, X2, X3) 2 + 1X1 + 0X2 + 0X3 >= 2 + 1X1 + 0X2 + 0X3 active U12(tt(), N, XS) -> mark snd splitAt(N, XS) 2 + 1N + 1XS >= 3 + 0N + 0XS active U12(X1, X2, X3) -> U12(active X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(ok X1, ok X2, ok X3) -> ok U12(X1, X2, X3) 4 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 U12(mark X1, X2, X3) -> mark U12(X1, X2, X3) 2 + 1X1 + 1X2 + 1X3 >= 2 + 1X1 + 1X2 + 1X3 Qed