MAYBE Time: 2.732727 TRS: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} DP: DP: { fst# mark X -> fst# X, fst# ok X -> fst# X, splitAt#(X1, mark X2) -> splitAt#(X1, X2), splitAt#(mark X1, X2) -> splitAt#(X1, X2), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2), active# fst X -> fst# active X, active# fst X -> active# X, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X), active# fst pair(X, Y) -> and#(isLNat X, isLNat Y), active# fst pair(X, Y) -> isLNat# X, active# fst pair(X, Y) -> isLNat# Y, active# splitAt(X1, X2) -> splitAt#(X1, active X2), active# splitAt(X1, X2) -> splitAt#(active X1, X2), active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS)), active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS), active# splitAt(s N, cons(X, XS)) -> isNatural# N, active# splitAt(s N, cons(X, XS)) -> isNatural# X, active# splitAt(s N, cons(X, XS)) -> isLNat# XS, active# splitAt(0(), XS) -> U71#(isLNat XS, XS), active# splitAt(0(), XS) -> isLNat# XS, active# U101(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3), active# U101(tt(), N, XS) -> fst# splitAt(N, XS), active# U101(tt(), N, XS) -> splitAt#(N, XS), active# snd X -> active# X, active# snd X -> snd# active X, active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), Y), active# snd pair(X, Y) -> and#(isLNat X, isLNat Y), active# snd pair(X, Y) -> isLNat# X, active# snd pair(X, Y) -> isLNat# Y, active# U11(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3), active# U11(tt(), N, XS) -> splitAt#(N, XS), active# U11(tt(), N, XS) -> snd# splitAt(N, XS), active# U21(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2), active# U31(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2), active# cons(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2), active# natsFrom N -> U41#(isNatural N, N), active# natsFrom N -> isNatural# N, active# natsFrom X -> active# X, active# natsFrom X -> natsFrom# active X, active# s X -> active# X, active# s X -> s# active X, active# U41(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2), active# U41(tt(), N) -> cons#(N, natsFrom s N), active# U41(tt(), N) -> natsFrom# s N, active# U41(tt(), N) -> s# N, active# head X -> active# X, active# head X -> head# active X, active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N), active# head cons(N, XS) -> and#(isNatural N, isLNat XS), active# head cons(N, XS) -> isNatural# N, active# head cons(N, XS) -> isLNat# XS, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS), active# afterNth(N, XS) -> and#(isNatural N, isLNat XS), active# afterNth(N, XS) -> isNatural# N, active# afterNth(N, XS) -> isLNat# 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# U51(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3), active# U51(tt(), N, XS) -> head# afterNth(N, XS), active# U51(tt(), N, XS) -> afterNth#(N, XS), active# U61(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2), 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# U71(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2), active# U71(tt(), XS) -> pair#(nil(), XS), active# U82(X1, X2) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2), active# U82(pair(YS, ZS), X) -> cons#(X, YS), active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS), active# U81(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4), active# U81(tt(), N, X, XS) -> splitAt#(N, XS), active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X), active# U91(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2), active# and(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2), active# isNatural s V1 -> isNatural# V1, active# isNatural head V1 -> isLNat# V1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2), active# isNatural sel(V1, V2) -> isNatural# V1, active# isNatural sel(V1, V2) -> isLNat# V2, active# isLNat fst V1 -> isPLNat# V1, active# isLNat snd V1 -> isPLNat# V1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2), active# isLNat cons(V1, V2) -> isNatural# V1, active# isLNat cons(V1, V2) -> isLNat# V2, active# isLNat natsFrom V1 -> isNatural# V1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2), active# isLNat afterNth(V1, V2) -> isNatural# V1, active# isLNat afterNth(V1, V2) -> isLNat# V2, active# isLNat tail V1 -> isLNat# V1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2), active# isLNat take(V1, V2) -> isNatural# V1, active# isLNat take(V1, V2) -> isLNat# V2, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2), active# isPLNat splitAt(V1, V2) -> isNatural# V1, active# isPLNat splitAt(V1, V2) -> isLNat# V2, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2), active# isPLNat pair(V1, V2) -> isLNat# V1, active# isPLNat pair(V1, V2) -> isLNat# V2, active# tail X -> active# X, active# tail X -> tail# active X, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS), active# tail cons(N, XS) -> and#(isNatural N, isLNat XS), active# tail cons(N, XS) -> isNatural# N, active# tail cons(N, XS) -> isLNat# XS, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS), active# take(N, XS) -> and#(isNatural N, isLNat XS), active# take(N, XS) -> isNatural# N, active# take(N, XS) -> isLNat# 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), active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS), active# sel(N, XS) -> and#(isNatural N, isLNat XS), active# sel(N, XS) -> isNatural# N, active# sel(N, XS) -> isLNat# 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), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3), snd# mark X -> snd# X, snd# ok X -> snd# X, U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3), U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2), U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2), cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2), natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X, s# mark X -> s# X, s# ok X -> s# X, U41#(mark X1, X2) -> U41#(X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2), 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), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3), U61#(mark X1, X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2), pair#(X1, mark X2) -> pair#(X1, X2), pair#(mark X1, X2) -> pair#(X1, X2), pair#(ok X1, ok X2) -> pair#(X1, X2), U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2), U82#(mark X1, X2) -> U82#(X1, X2), U82#(ok X1, ok X2) -> U82#(X1, X2), U81#(mark X1, X2, X3, X4) -> U81#(X1, X2, X3, X4), U81#(ok X1, ok X2, ok X3, ok X4) -> U81#(X1, X2, X3, X4), U91#(mark X1, X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2), and#(mark X1, X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2), isNatural# ok X -> isNatural# X, isLNat# ok X -> isLNat# X, isPLNat# ok X -> isPLNat# X, 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), sel#(X1, mark X2) -> sel#(X1, X2), sel#(mark X1, X2) -> sel#(X1, X2), sel#(ok X1, ok X2) -> sel#(X1, X2), proper# fst X -> fst# proper X, proper# fst 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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3), proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X, proper# snd X -> proper# X, 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# U21(X1, X2) -> U21#(proper X1, proper X2), proper# U21(X1, X2) -> proper# X1, proper# U21(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# cons(X1, X2) -> cons#(proper X1, proper X2), proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X, proper# natsFrom X -> proper# X, proper# s X -> s# proper X, proper# s X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2), proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2, 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# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3), proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2), proper# U61(X1, X2) -> proper# X1, proper# U61(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# U71(X1, X2) -> U71#(proper X1, proper X2), proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2), proper# U82(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4), proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U91(X1, X2) -> U91#(proper X1, proper X2), proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2), proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X, proper# isNatural X -> proper# X, proper# isLNat X -> isLNat# proper X, proper# isLNat X -> proper# X, proper# isPLNat X -> isPLNat# proper X, proper# isPLNat X -> proper# X, 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, proper# sel(X1, X2) -> sel#(proper X1, proper X2), proper# sel(X1, X2) -> proper# X1, proper# sel(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: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} UR: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2)} EDG: { (active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N), U31#(ok X1, ok X2) -> U31#(X1, X2)) (active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N), U31#(mark X1, X2) -> U31#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(active X1, X2), splitAt#(ok X1, ok 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#(X1, mark X2) -> splitAt#(X1, X2)) (active# U31(X1, X2) -> U31#(active X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)) (active# U31(X1, X2) -> U31#(active X1, X2), U31#(mark X1, X2) -> U31#(X1, X2)) (active# U41(X1, X2) -> U41#(active X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2)) (active# U41(X1, X2) -> U41#(active X1, X2), U41#(mark X1, X2) -> U41#(X1, X2)) (active# U61(X1, X2) -> U61#(active X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2)) (active# U61(X1, X2) -> U61#(active X1, X2), U61#(mark X1, X2) -> U61#(X1, X2)) (active# U71(X1, X2) -> U71#(active X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)) (active# U71(X1, X2) -> U71#(active X1, X2), U71#(mark X1, X2) -> U71#(X1, X2)) (active# U91(X1, X2) -> U91#(active X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)) (active# U91(X1, X2) -> U91#(active X1, X2), U91#(mark X1, X2) -> U91#(X1, X2)) (active# take(X1, X2) -> take#(active X1, X2), take#(ok X1, ok 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#(X1, mark X2) -> take#(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)) (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)) (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)) (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)) (U41#(ok X1, ok X2) -> U41#(X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2)) (U41#(ok X1, ok X2) -> U41#(X1, X2), U41#(mark X1, X2) -> U41#(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)) (U61#(mark X1, X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2)) (U61#(mark X1, X2) -> U61#(X1, X2), U61#(mark X1, X2) -> U61#(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)) (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)) (U82#(ok X1, ok X2) -> U82#(X1, X2), U82#(ok X1, ok X2) -> U82#(X1, X2)) (U82#(ok X1, ok X2) -> U82#(X1, X2), U82#(mark X1, X2) -> U82#(X1, X2)) (U91#(ok X1, ok X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)) (U91#(ok X1, ok X2) -> U91#(X1, X2), U91#(mark X1, X2) -> U91#(X1, X2)) (and#(ok X1, ok X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)) (and#(ok X1, ok X2) -> and#(X1, X2), and#(mark X1, X2) -> and#(X1, X2)) (take#(mark X1, X2) -> take#(X1, X2), take#(ok X1, ok 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#(X1, mark X2) -> take#(X1, X2)) (sel#(X1, mark X2) -> sel#(X1, X2), sel#(ok X1, ok 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#(X1, mark X2) -> sel#(X1, X2)) (sel#(ok X1, ok X2) -> sel#(X1, X2), sel#(ok X1, ok 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#(X1, mark X2) -> sel#(X1, X2)) (active# U11(tt(), N, XS) -> snd# splitAt(N, XS), snd# ok X -> snd# X) (active# U11(tt(), N, XS) -> snd# splitAt(N, XS), snd# mark X -> snd# X) (active# fst pair(X, Y) -> and#(isLNat X, isLNat Y), and#(ok X1, ok X2) -> and#(X1, X2)) (active# fst pair(X, Y) -> and#(isLNat X, isLNat Y), and#(mark X1, X2) -> and#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS), and#(mark X1, X2) -> and#(X1, X2)) (active# head cons(N, XS) -> and#(isNatural N, isLNat XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# head cons(N, XS) -> and#(isNatural N, isLNat XS), and#(mark X1, X2) -> and#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(X1, active X2), afterNth#(ok X1, ok 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#(X1, mark X2) -> afterNth#(X1, X2)) (active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2), and#(mark X1, X2) -> and#(X1, X2)) (active# tail cons(N, XS) -> and#(isNatural N, isLNat XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# tail cons(N, XS) -> and#(isNatural N, isLNat XS), and#(mark X1, X2) -> and#(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)) (active# sel(X1, X2) -> sel#(X1, active X2), sel#(ok X1, ok 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#(X1, mark X2) -> sel#(X1, X2)) (proper# U21(X1, X2) -> U21#(proper X1, proper X2), U21#(ok X1, ok X2) -> U21#(X1, X2)) (proper# U21(X1, X2) -> U21#(proper X1, proper X2), U21#(mark X1, X2) -> U21#(X1, X2)) (proper# cons(X1, X2) -> cons#(proper X1, proper X2), cons#(ok X1, ok X2) -> cons#(X1, X2)) (proper# cons(X1, X2) -> cons#(proper X1, proper X2), cons#(mark X1, X2) -> cons#(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# 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# U82(X1, X2) -> U82#(proper X1, proper X2), U82#(ok X1, ok X2) -> U82#(X1, X2)) (proper# U82(X1, X2) -> U82#(proper X1, proper X2), U82#(mark X1, X2) -> U82#(X1, X2)) (proper# and(X1, X2) -> and#(proper X1, proper X2), and#(ok X1, ok X2) -> and#(X1, X2)) (proper# and(X1, X2) -> and#(proper X1, proper X2), and#(mark X1, X2) -> and#(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# splitAt(s N, cons(X, XS)) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# head cons(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# tail cons(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# sel(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# isLNat cons(V1, V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# isLNat take(V1, V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# isPLNat pair(V1, V2) -> isLNat# V2, isLNat# ok X -> isLNat# 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# 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# isPLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U11(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (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# 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# U61(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(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# 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# 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# 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# 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# 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# U101(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# fst X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# tail X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# tail X -> tail# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# isLNat X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# isNatural X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# head X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# head X -> head# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# s X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# s X -> s# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# snd X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# snd X -> snd# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# fst X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X3, proper# fst X -> fst# proper X) (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)) (U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)) (U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3)) (U11#(mark X1, X2, 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), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)) (U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3)) (active# fst X -> fst# active X, fst# ok X -> fst# X) (active# fst X -> fst# active X, fst# mark X -> fst# X) (active# natsFrom X -> natsFrom# active X, natsFrom# ok X -> natsFrom# X) (active# natsFrom X -> natsFrom# active X, natsFrom# mark X -> natsFrom# X) (active# head X -> head# active X, head# ok X -> head# X) (active# head X -> head# active X, head# mark X -> head# X) (proper# fst X -> fst# proper X, fst# ok X -> fst# X) (proper# fst X -> fst# proper X, fst# mark X -> fst# X) (proper# natsFrom X -> natsFrom# proper X, natsFrom# ok X -> natsFrom# X) (proper# natsFrom X -> natsFrom# proper X, natsFrom# mark X -> natsFrom# X) (proper# head X -> head# proper X, head# ok X -> head# X) (proper# head X -> head# proper X, head# mark X -> head# X) (proper# isLNat X -> isLNat# proper X, isLNat# ok X -> isLNat# 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) (active# splitAt(0(), XS) -> U71#(isLNat XS, XS), U71#(ok X1, ok X2) -> U71#(X1, X2)) (active# splitAt(0(), XS) -> U71#(isLNat XS, XS), U71#(mark X1, X2) -> U71#(X1, X2)) (active# U101(tt(), N, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U101(tt(), N, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U101(tt(), N, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U51(tt(), N, XS) -> afterNth#(N, XS), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)) (active# U51(tt(), N, XS) -> afterNth#(N, XS), afterNth#(mark X1, X2) -> afterNth#(X1, X2)) (active# U51(tt(), N, XS) -> afterNth#(N, XS), afterNth#(X1, mark X2) -> afterNth#(X1, X2)) (active# U82(pair(YS, ZS), X) -> cons#(X, YS), cons#(ok X1, ok X2) -> cons#(X1, X2)) (active# U82(pair(YS, ZS), X) -> cons#(X, YS), cons#(mark X1, X2) -> cons#(X1, X2)) (active# natsFrom N -> isNatural# N, isNatural# ok X -> isNatural# X) (active# head cons(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# tail cons(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# sel(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# fst pair(X, Y) -> isLNat# Y, isLNat# ok X -> isLNat# X) (active# isNatural s V1 -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isNatural sel(V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isLNat snd V1 -> isPLNat# V1, isPLNat# ok X -> isPLNat# X) (active# isLNat natsFrom V1 -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isLNat tail V1 -> isLNat# V1, isLNat# ok X -> isLNat# X) (active# isPLNat splitAt(V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# splitAt(X1, X2) -> active# X2, active# sel(X1, X2) -> sel#(active X1, 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) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# splitAt(X1, X2) -> active# X2, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# take(X1, X2) -> take#(active X1, 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) -> active# X2) (active# splitAt(X1, X2) -> active# X2, active# take(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# splitAt(X1, X2) -> active# X2, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# splitAt(X1, X2) -> active# X2, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# splitAt(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# splitAt(X1, X2) -> active# X2, active# tail X -> active# X) (active# splitAt(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNat tail V1 -> isLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X2, active# isLNat snd V1 -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# isLNat fst V1 -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X2, active# isNatural head V1 -> isLNat# V1) (active# splitAt(X1, X2) -> active# X2, active# isNatural s V1 -> isNatural# V1) (active# splitAt(X1, X2) -> active# X2, active# and(X1, X2) -> and#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# and(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U91(X1, X2) -> U91#(active X1, X2)) (active# splitAt(X1, X2) -> active# X2, active# U91(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# splitAt(X1, X2) -> active# X2, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X2, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X2, active# U81(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X2, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# splitAt(X1, X2) -> active# X2, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# splitAt(X1, X2) -> active# X2, active# U82(X1, X2) -> 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X1, X2)) (active# sel(X1, X2) -> active# X2, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# Y) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# X) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# sel(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# sel(X1, X2) -> active# X2, active# fst X -> active# X) (active# sel(X1, X2) -> active# X2, active# fst X -> fst# active X) (proper# U101(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, 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X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X2, proper# fst X -> fst# 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# 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# isPLNat X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U21(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U21(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U21(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (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# 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# U61(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (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) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(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# 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# 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# 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# 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# snd X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# fst X -> proper# X) (proper# U21(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# cons(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# cons(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# cons(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# cons(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# cons(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# cons(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# cons(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# snd X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# cons(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# cons(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# snd X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# afterNth(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# afterNth(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U61(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U61(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U61(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U61(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U61(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U61(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U61(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U61(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U71(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U71(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U71(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U71(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U71(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U71(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U71(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# snd X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U71(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U71(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# tail X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# tail X -> tail# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# isLNat X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# head X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# head X -> head# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# s X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# s X -> s# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# snd X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# snd X -> snd# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# fst X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X2, proper# fst X -> fst# proper X) (proper# and(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# and(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# and(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# and(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# and(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# and(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# and(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# and(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# and(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# and(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# and(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# and(X1, X2) -> proper# X2, proper# fst X -> fst# 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# 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# isPLNat X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# sel(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# sel(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# sel(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (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# 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# U61(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (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) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(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# 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# 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# 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# 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# snd X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# fst X -> proper# X) (proper# sel(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS), U11#(mark X1, X2, X3) -> U11#(X1, X2, X3)) (active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)) (active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3)) (active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X), U82#(ok X1, ok X2) -> U82#(X1, X2)) (active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X), U82#(mark X1, X2) -> U82#(X1, X2)) (active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4), U81#(ok X1, ok X2, ok X3, ok X4) -> U81#(X1, X2, X3, X4)) (active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4), U81#(mark X1, X2, X3, X4) -> U81#(X1, X2, X3, X4)) (U81#(ok X1, ok X2, ok X3, ok X4) -> U81#(X1, X2, X3, X4), U81#(ok X1, ok X2, ok X3, ok X4) -> U81#(X1, X2, X3, X4)) (U81#(ok X1, ok X2, ok X3, ok X4) -> U81#(X1, X2, X3, X4), U81#(mark X1, X2, X3, X4) -> U81#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), U81#(ok X1, ok X2, ok X3, ok X4) -> U81#(X1, X2, X3, X4)) (active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), U81#(mark X1, X2, X3, X4) -> U81#(X1, X2, X3, X4)) (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)) (fst# mark X -> fst# X, fst# ok X -> fst# X) (fst# mark X -> fst# X, fst# mark X -> fst# X) (active# fst X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# fst X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# fst X -> active# X, active# sel(X1, X2) -> active# X2) (active# fst X -> active# X, active# sel(X1, X2) -> active# X1) (active# fst X -> active# X, active# sel(N, XS) -> isLNat# XS) (active# fst X -> active# X, active# sel(N, XS) -> isNatural# N) (active# fst X -> active# X, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# fst X -> active# X, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# fst X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# fst X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# fst X -> active# X, active# take(X1, X2) -> active# X2) (active# fst X -> active# X, active# take(X1, X2) -> active# X1) (active# fst X -> active# X, active# take(N, XS) -> isLNat# XS) (active# fst X -> active# X, active# take(N, XS) -> isNatural# N) (active# fst X -> active# X, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# fst X -> active# X, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# fst X -> active# X, active# tail cons(N, XS) -> isLNat# XS) (active# fst X -> active# X, active# tail cons(N, XS) -> isNatural# N) (active# fst X -> active# X, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# fst X -> active# X, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# fst X -> active# X, active# tail X -> tail# active X) (active# fst X -> active# X, active# tail X -> active# X) (active# fst X -> active# X, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# fst X -> active# X, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# fst X -> active# X, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# fst X -> active# X, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# fst X -> active# X, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# fst X -> active# X, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# fst X -> active# X, active# isLNat take(V1, V2) -> isLNat# V2) (active# fst X -> active# X, active# isLNat take(V1, V2) -> isNatural# V1) (active# fst X -> active# X, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# fst X -> active# X, active# isLNat tail V1 -> isLNat# V1) (active# fst X -> active# X, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# fst X -> active# X, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# fst X -> active# X, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# fst X -> active# X, active# isLNat natsFrom V1 -> isNatural# V1) (active# fst X -> active# X, active# isLNat cons(V1, V2) -> isLNat# V2) (active# fst X -> active# X, active# isLNat cons(V1, V2) -> isNatural# V1) (active# fst X -> active# X, active# isLNat cons(V1, V2) -> 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-> active# X, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# fst X -> active# X, active# U81(X1, X2, X3, X4) -> active# X1) (active# fst X -> active# X, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# fst X -> active# X, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# fst X -> active# X, active# U82(X1, X2) -> U82#(active X1, X2)) (active# fst X -> active# X, active# U82(X1, X2) -> active# X1) (active# fst X -> active# X, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# fst X -> active# X, active# U71(X1, X2) -> U71#(active X1, X2)) (active# fst X -> active# X, active# U71(X1, X2) -> active# X1) (active# fst X -> active# X, active# pair(X1, X2) -> pair#(active X1, X2)) (active# fst X -> active# X, active# pair(X1, X2) -> pair#(X1, active X2)) (active# fst X -> active# X, active# pair(X1, X2) -> active# X2) (active# fst X -> active# X, active# pair(X1, X2) -> active# X1) (active# fst X -> active# X, active# U61(X1, X2) -> U61#(active X1, 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-> active# X1) (active# tail X -> active# X, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# tail X -> active# X, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# tail X -> active# X, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# tail X -> active# X, active# U51(X1, X2, X3) -> 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) -> isLNat# XS) (active# tail X -> active# X, active# afterNth(N, XS) -> isNatural# N) (active# tail X -> active# X, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# tail X -> active# X, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# tail X -> active# X, active# head 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(active# tail X -> active# X, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# tail X -> active# X, active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), 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# U101(tt(), N, XS) -> splitAt#(N, XS)) (active# tail X -> active# X, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (active# tail X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# tail X -> active# X, active# U101(X1, X2, X3) -> active# X1) (active# tail X -> active# X, active# splitAt(0(), XS) -> isLNat# XS) (active# tail X -> active# X, active# splitAt(0(), XS) -> U71#(isLNat XS, XS)) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS)) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS))) (active# tail X -> active# X, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (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# 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# fst pair(X, Y) -> isLNat# Y) (active# tail X -> active# X, active# fst pair(X, Y) -> isLNat# X) (active# tail X -> active# X, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# tail X -> active# X, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# tail X -> active# X, active# fst X -> active# X) (active# tail X -> active# X, active# fst X -> fst# active X) (snd# ok X -> snd# X, snd# ok X -> snd# X) (snd# ok X -> snd# X, snd# mark X -> snd# 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) (head# ok X -> head# X, head# ok X -> head# X) (head# ok X -> head# X, head# mark X -> head# X) (isLNat# ok X -> isLNat# X, isLNat# ok X -> isLNat# X) (tail# mark X -> tail# X, tail# ok X -> tail# X) (tail# mark X -> tail# X, tail# mark X -> tail# X) (proper# fst X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# fst X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# fst X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# fst X -> proper# X, proper# take(X1, X2) -> 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proper# X1) (proper# natsFrom X -> proper# X, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (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# 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# U61(X1, X2) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# natsFrom X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (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) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U41(X1, X2) -> U41#(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# 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# 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# 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# 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# snd X -> proper# X) (proper# natsFrom X -> proper# X, proper# snd X -> snd# proper X) (proper# natsFrom X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# natsFrom X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# natsFrom X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# natsFrom X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# fst X -> proper# X) (proper# natsFrom X -> proper# X, proper# fst X -> fst# 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# 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# isPLNat X -> proper# X) (proper# head X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# head X -> proper# X, proper# isLNat X -> proper# X) (proper# head X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# head X -> proper# X, proper# isNatural X -> proper# X) (proper# head X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# head X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# head X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# head X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# head X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# head X -> proper# X, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# head X -> proper# X, proper# U82(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U82(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (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# 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# U61(X1, X2) -> proper# X2) (proper# head X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# head X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (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) -> proper# X2) (proper# head X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# head X -> proper# X, proper# U41(X1, X2) -> U41#(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# 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# 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# 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# 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# snd X -> proper# X) (proper# head X -> proper# X, proper# snd X -> snd# proper X) (proper# head X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# head X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# head X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# head X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# fst X -> proper# X) (proper# head X -> proper# X, proper# fst X -> fst# proper X) (proper# isLNat X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# tail X -> proper# X) (proper# isLNat X -> proper# X, proper# tail X -> tail# proper X) (proper# isLNat X -> proper# X, proper# isPLNat X -> proper# X) (proper# isLNat X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# isLNat X -> proper# X, proper# isLNat X -> proper# X) (proper# isLNat X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isLNat X -> proper# X, proper# isNatural X -> proper# X) (proper# isLNat X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# isLNat X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# isLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# isLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# isLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# isLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# isLNat X -> proper# X, proper# U82(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U82(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# head X -> proper# X) (proper# isLNat X -> proper# X, proper# head X -> head# proper X) (proper# isLNat X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# s X -> proper# X) (proper# isLNat X -> proper# X, proper# s X -> s# proper X) (proper# isLNat X -> proper# X, proper# natsFrom X -> proper# X) (proper# isLNat X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# isLNat X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# snd X -> proper# X) (proper# isLNat X -> proper# X, proper# snd X -> snd# proper X) (proper# isLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# isLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# isLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# isLNat X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# isLNat X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# isLNat X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# isLNat X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# isLNat X -> proper# X, proper# fst X -> proper# X) (proper# isLNat X -> proper# X, proper# fst X -> fst# 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# 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# isPLNat X -> proper# X) (proper# tail X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# tail X -> proper# X, proper# isLNat X -> proper# X) (proper# tail X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# tail X -> proper# X, proper# isNatural X -> proper# X) (proper# tail X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# tail X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# tail X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# tail X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# tail X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# tail X -> proper# X, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# tail X -> proper# X, proper# U82(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U82(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (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# 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# U61(X1, X2) -> proper# X2) (proper# tail X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# tail X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (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) -> proper# X2) (proper# tail X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# tail X -> proper# X, proper# U41(X1, X2) -> U41#(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# 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# 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# 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# 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# snd X -> proper# X) (proper# tail X -> proper# X, proper# snd X -> snd# proper X) (proper# tail X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# tail X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# tail X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# tail X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# fst X -> proper# X) (proper# tail X -> proper# X, proper# fst X -> fst# proper 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) -> isLNat# XS) (top# ok X -> active# X, active# sel(N, XS) -> isNatural# N) (top# ok X -> active# X, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (top# ok X -> active# X, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (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) -> isLNat# XS) (top# ok X -> active# X, active# take(N, XS) -> isNatural# N) (top# ok X -> active# X, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (top# ok X -> active# X, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (top# ok X -> active# X, active# tail cons(N, XS) -> isLNat# XS) (top# ok X -> active# X, active# tail cons(N, XS) -> isNatural# N) (top# ok X -> active# X, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (top# ok X -> active# X, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), 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# isPLNat pair(V1, V2) -> isLNat# V2) (top# ok X -> active# X, active# isPLNat pair(V1, V2) -> isLNat# V1) (top# ok X -> active# X, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (top# ok X -> active# X, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (top# ok X -> active# X, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (top# ok X -> active# X, active# isLNat take(V1, V2) -> isLNat# V2) (top# ok X -> active# X, active# isLNat take(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (top# ok X -> active# X, active# isLNat tail V1 -> isLNat# V1) (top# ok X -> active# X, active# isLNat afterNth(V1, V2) -> isLNat# V2) (top# ok X -> active# X, active# isLNat afterNth(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (top# ok X -> active# X, active# isLNat natsFrom V1 -> isNatural# V1) (top# ok X -> active# X, active# isLNat cons(V1, V2) -> isLNat# V2) (top# ok X -> active# X, active# isLNat cons(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (top# ok X -> active# X, active# isLNat snd V1 -> isPLNat# V1) (top# ok X -> active# X, active# isLNat fst V1 -> isPLNat# V1) (top# ok X -> active# X, active# isNatural sel(V1, V2) -> isLNat# V2) (top# ok X -> active# X, active# isNatural sel(V1, V2) -> isNatural# V1) (top# ok X -> active# X, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (top# ok X -> active# X, active# isNatural head V1 -> isLNat# V1) (top# ok X -> active# X, active# isNatural s V1 -> isNatural# V1) (top# ok X -> active# X, active# and(X1, X2) -> and#(active X1, X2)) (top# ok X -> active# X, active# and(X1, X2) -> active# X1) (top# ok X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2)) (top# ok X -> active# X, active# U91(X1, X2) -> active# X1) (top# ok X -> active# X, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (top# ok X -> active# X, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (top# ok X -> active# X, active# U81(X1, X2, X3, X4) -> active# X1) (top# ok X -> active# X, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (top# ok X -> active# X, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (top# ok X -> active# X, active# U82(X1, X2) -> U82#(active X1, X2)) (top# ok X -> active# X, active# U82(X1, X2) -> active# X1) (top# ok X -> active# X, active# U71(tt(), XS) -> pair#(nil(), 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# 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# U61(X1, X2) -> U61#(active X1, X2)) (top# ok X -> active# X, active# U61(X1, X2) -> active# X1) (top# ok X -> active# X, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (top# ok X -> active# X, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (top# ok X -> active# X, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (top# ok X -> active# X, active# U51(X1, X2, X3) -> 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) -> isLNat# XS) (top# ok X -> active# X, active# afterNth(N, XS) -> isNatural# N) (top# ok X -> active# X, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (top# ok X -> active# X, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (top# ok X -> active# X, active# head cons(N, XS) -> isLNat# XS) (top# ok X -> active# X, active# head cons(N, XS) -> isNatural# N) (top# ok X -> active# X, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (top# ok X -> active# X, active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), 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) -> s# N) (top# ok X -> active# X, active# U41(tt(), N) -> natsFrom# s N) (top# ok X -> active# X, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (top# ok X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2)) (top# ok X -> active# X, active# U41(X1, X2) -> active# X1) (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 -> isNatural# N) (top# ok X -> active# X, active# natsFrom N -> U41#(isNatural N, N)) (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# U31(X1, X2) -> U31#(active X1, X2)) (top# ok X -> active# X, active# U31(X1, X2) -> active# X1) (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# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (top# ok X -> active# X, active# U11(tt(), N, XS) -> splitAt#(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# snd pair(X, Y) -> isLNat# Y) (top# ok X -> active# X, active# snd pair(X, Y) -> isLNat# X) (top# ok X -> active# X, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (top# ok X -> active# X, active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), 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# U101(tt(), N, XS) -> splitAt#(N, XS)) (top# ok X -> active# X, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (top# ok X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (top# ok X -> active# X, active# U101(X1, X2, X3) -> active# X1) (top# ok X -> active# X, active# splitAt(0(), XS) -> isLNat# XS) (top# ok X -> active# X, active# splitAt(0(), XS) -> U71#(isLNat XS, XS)) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS)) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS))) (top# ok X -> active# X, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (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# 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# fst pair(X, Y) -> isLNat# Y) (top# ok X -> active# X, active# fst pair(X, Y) -> isLNat# X) (top# ok X -> active# X, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (top# ok X -> active# X, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (top# ok X -> active# X, active# fst X -> active# X) (top# ok X -> active# X, active# fst X -> fst# active X) (active# U101(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U101(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U101(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# U101(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U101(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X2) (active# U101(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# U101(X1, X2, X3) -> active# X1, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U101(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# U101(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U101(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U101(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# U101(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U101(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U101(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U101(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# U101(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U101(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U101(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U101(X1, X2, X3) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# and(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# U101(X1, X2, X3) -> active# X1, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# U101(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U101(X1, X2, X3) -> active# X1, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# U101(X1, X2, X3) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U82(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# U101(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U101(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U101(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# U101(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U101(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N)) (active# U101(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U101(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U41(tt(), N) -> s# N) (active# U101(X1, X2, X3) -> active# X1, active# U41(tt(), N) -> natsFrom# s N) (active# U101(X1, X2, X3) -> active# X1, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# U101(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U101(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# natsFrom N -> U41#(isNatural N, N)) (active# U101(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# U101(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), Y)) (active# U101(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U101(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# U101(tt(), N, XS) -> splitAt#(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U101(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U101(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U71#(isLNat XS, XS)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS))) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U101(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# U101(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# U101(X1, X2, X3) -> active# X1, active# fst X -> active# X) (active# U101(X1, X2, X3) -> active# X1, active# fst X -> fst# active X) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, 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) -> active# X2) (active# U21(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# U21(X1, X2) -> active# X1, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, 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) -> active# X2) (active# U21(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# U21(X1, X2) -> active# X1, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U21(X1, X2) -> active# X1, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# U21(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U21(X1, X2) -> active# X1, active# tail X -> active# X) (active# U21(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# U21(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U21(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# U21(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# U21(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U21(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNat# V2) (active# U21(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U21(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U21(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# U21(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U21(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# U21(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U21(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U21(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U21(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# U21(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U21(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U21(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U21(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# U21(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U21(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# U21(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U21(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# U21(X1, X2) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U82(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# U21(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, 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) -> active# X2) (active# U21(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# U21(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# U21(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U21(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U21(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, 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) -> active# X2) (active# U21(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U21(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U21(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# U21(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# U21(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U21(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U21(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U21(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N)) (active# U21(X1, X2) -> active# X1, active# head X -> head# active X) (active# U21(X1, X2) -> active# X1, active# head X -> active# X) (active# U21(X1, X2) -> active# X1, active# U41(tt(), N) -> s# N) (active# U21(X1, X2) -> active# X1, active# U41(tt(), N) -> natsFrom# s N) (active# U21(X1, X2) -> active# X1, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# U21(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U21(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U21(X1, X2) -> active# X1, active# s X -> s# active X) (active# U21(X1, X2) -> active# X1, active# s X -> active# X) (active# U21(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U21(X1, X2) -> active# X1, active# natsFrom X -> 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splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (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# 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# fst pair(X, Y) -> isLNat# Y) (active# U71(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U71(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# U71(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# U71(X1, X2) -> active# X1, active# fst X -> active# X) (active# U71(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U81(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U81(X1, X2, X3, X4) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U81(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U81(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X2) (active# U81(X1, X2, X3, X4) -> active# X1, active# take(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U81(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U81(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U81(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U81(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# tail X -> tail# active X) (active# U81(X1, X2, X3, X4) -> active# X1, active# tail X -> active# X) (active# U81(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# U81(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# U81(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> isLNat# V2) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# U81(X1, X2, X3, X4) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U81(X1, X2, X3, X4) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# and(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U82(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U81(X1, X2, X3, X4) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U81(X1, X2, X3, X4) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U81(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U81(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U81(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U81(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N)) (active# U81(X1, X2, X3, X4) -> active# X1, active# head X -> head# active X) (active# U81(X1, X2, X3, X4) -> active# X1, active# head X -> active# X) (active# U81(X1, X2, X3, X4) -> active# X1, active# U41(tt(), N) -> s# N) (active# U81(X1, X2, X3, X4) -> active# X1, active# U41(tt(), N) -> natsFrom# s N) (active# U81(X1, X2, X3, X4) -> active# X1, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# s X -> s# active X) (active# U81(X1, X2, X3, X4) -> active# X1, active# s X -> active# X) (active# U81(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U81(X1, X2, X3, X4) -> active# X1, active# natsFrom X -> active# X) (active# U81(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> isNatural# N) (active# U81(X1, X2, X3, X4) -> active# X1, active# natsFrom N -> U41#(isNatural N, N)) (active# U81(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U81(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U81(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# U81(X1, X2, X3, X4) -> active# X1, active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), Y)) (active# U81(X1, X2, X3, X4) -> active# X1, active# snd X -> snd# active X) (active# U81(X1, X2, X3, X4) -> active# X1, active# snd X -> active# X) (active# U81(X1, X2, X3, X4) -> active# X1, active# U101(tt(), N, XS) -> splitAt#(N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U81(X1, X2, X3, X4) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(0(), XS) -> U71#(isLNat XS, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS))) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U81(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U81(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U81(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# U81(X1, X2, X3, X4) -> active# X1, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# U81(X1, X2, X3, X4) -> active# X1, active# fst X -> active# X) (active# U81(X1, X2, X3, X4) -> active# X1, active# fst X -> fst# active X) (active# and(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# and(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# and(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# and(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# and(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# and(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# and(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# and(X1, X2) -> active# X1, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# and(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# and(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# and(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# and(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# and(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# and(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# and(X1, X2) -> active# X1, 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active# U21(X1, X2) -> U21#(active X1, X2)) (active# and(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# and(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# and(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# and(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# and(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# and(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# and(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# and(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# and(X1, X2) -> active# X1, active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), Y)) (active# and(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# and(X1, X2) -> active# X1, active# snd X -> active# X) (active# and(X1, X2) -> active# X1, active# U101(tt(), N, XS) -> splitAt#(N, XS)) (active# 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V1) (active# sel(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# sel(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# sel(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# sel(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# sel(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# sel(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# sel(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# sel(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# sel(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# sel(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# sel(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# sel(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# sel(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# sel(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# sel(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# sel(X1, X2) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U82(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# sel(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, 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) -> active# X2) (active# sel(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# sel(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, 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) -> active# X2) (active# sel(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# sel(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# sel(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# sel(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# sel(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# sel(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N)) (active# sel(X1, X2) -> active# X1, active# head X -> head# active X) (active# sel(X1, X2) -> active# X1, active# head X -> active# X) (active# sel(X1, X2) -> active# X1, active# U41(tt(), N) -> s# N) (active# sel(X1, X2) -> active# X1, active# U41(tt(), N) -> natsFrom# s N) (active# sel(X1, X2) -> active# X1, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# sel(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# s X -> s# active X) (active# sel(X1, X2) -> active# X1, active# s X -> active# X) (active# sel(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# sel(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# sel(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# sel(X1, X2) -> active# X1, active# natsFrom N -> U41#(isNatural N, N)) (active# sel(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# cons(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(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(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# sel(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# sel(X1, X2) -> active# X1, active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), Y)) (active# sel(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# sel(X1, X2) -> active# X1, active# snd X -> active# X) (active# sel(X1, X2) -> active# X1, active# U101(tt(), N, XS) -> splitAt#(N, XS)) (active# sel(X1, X2) -> active# X1, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (active# sel(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# sel(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# sel(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U71#(isLNat XS, XS)) (active# sel(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# sel(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# sel(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# sel(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS)) (active# sel(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS))) (active# sel(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (active# sel(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# sel(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# sel(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# sel(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# sel(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# sel(X1, X2) -> active# X1, active# fst X -> active# X) (active# sel(X1, X2) -> active# X1, active# fst X -> fst# active X) (proper# U101(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U21(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U21(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U21(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U21(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U21(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U21(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U21(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# snd X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U21(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U21(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U21(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U21(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U21(X1, X2) -> proper# X1, proper# fst X -> fst# 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# 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# isPLNat X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# cons(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# cons(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# cons(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# cons(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (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# 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# U61(X1, X2) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (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) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(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# 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# 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# 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# 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# snd X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# cons(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# fst X -> proper# X) (proper# cons(X1, X2) -> proper# X1, proper# fst X -> fst# 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# 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# isPLNat X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# afterNth(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (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# 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# U61(X1, X2) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (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) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(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# 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# 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# 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# 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# snd X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# afterNth(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# fst X -> proper# X) (proper# afterNth(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U61(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U61(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U61(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U61(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U61(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U61(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U61(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U61(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U61(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U61(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U61(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U61(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U61(X1, X2) -> proper# X1, proper# fst X -> fst# 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# 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# isPLNat X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U71(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U71(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U71(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (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# 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# U61(X1, X2) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (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) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(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# 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# 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# 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# 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# snd X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U71(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (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# fst X -> proper# X) (proper# U71(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# tail X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# tail X -> tail# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# isLNat X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# isNatural X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# head X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# head X -> head# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# s X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# s X -> s# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# snd X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# snd X -> snd# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# fst X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X1, proper# fst X -> fst# proper X) (proper# and(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# and(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# and(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# and(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# and(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# and(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# and(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# and(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# and(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# and(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# and(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# and(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# and(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# and(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# and(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# and(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# sel(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# sel(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# sel(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# sel(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# sel(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# sel(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# sel(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (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# X1) (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# snd X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# sel(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# sel(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# sel(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# sel(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# sel(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# fst X -> fst# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# fst X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# splitAt(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U101(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# snd X -> snd# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# snd X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U11(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U21(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U31(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# cons(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> natsFrom# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# natsFrom X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# s X -> s# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# s X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U41(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# head X -> head# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# head X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# afterNth(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2, X3) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2, X3) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U51(X1, X2, X3) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U61(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# pair(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U71(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U82(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U91(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U91(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# and(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# and(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> isNatural# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# isNatural X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# isLNat X -> isLNat# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# isLNat X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# isPLNat X -> isPLNat# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# isPLNat X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# tail X -> tail# proper X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# tail X -> proper# X) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# take(X1, X2) -> proper# X2) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X1) (proper# U81(X1, X2, X3, X4) -> proper# X4, proper# sel(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# take(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# take(X1, X2) -> proper# X1, proper# snd X -> proper# X) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# take(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# take(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# take(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# take(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# take(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# take(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# take(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# take(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# take(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# take(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# take(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# take(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U91(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U91(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U91(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U91(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U91(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U91(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U91(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U91(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U91(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U91(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U91(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U82(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U82(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U82(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U82(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U82(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U82(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U82(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U82(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U82(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U82(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U82(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U82(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U82(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U82(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U82(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U82(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U82(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U82(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (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# 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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U101(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# 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# 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# 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# 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# 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# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (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# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U61(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# 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) -> U82#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# pair(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# pair(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# pair(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# pair(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (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# 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# U51(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U51(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# fst X -> fst# proper X) (proper# U41(X1, X2) -> proper# X1, proper# fst X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# snd X -> snd# proper X) (proper# U41(X1, X2) -> proper# X1, proper# snd X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U41(X1, X2) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# s X -> s# proper X) (proper# U41(X1, X2) -> proper# X1, proper# s X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# head X -> head# proper X) (proper# U41(X1, X2) -> proper# X1, proper# head X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U41(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U41(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U41(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# tail X -> tail# proper X) (proper# U41(X1, X2) -> proper# X1, proper# tail X -> proper# X) (proper# U41(X1, X2) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2) (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# 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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U101(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# 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# 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# 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# 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# 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# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (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# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U61(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# 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) -> U82#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U31(X1, X2) -> proper# X1, proper# isNatural X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U31(X1, X2) -> proper# X1, proper# isLNat X -> proper# X) (proper# U31(X1, X2) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U31(X1, X2) -> proper# X1, proper# isPLNat X -> proper# X) (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# 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# U11(X1, X2, X3) -> proper# X1, proper# fst X -> fst# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# fst X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# splitAt(X1, X2) -> splitAt#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# snd X -> snd# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# snd X -> proper# X) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U21(X1, X2) -> U21#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U31(X1, X2) -> U31#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# cons(X1, X2) -> cons#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# natsFrom X -> natsFrom# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# natsFrom X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# s X -> s# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# s X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# head X -> head# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# head X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# afterNth(X1, X2) -> afterNth#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U61(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# pair(X1, X2) -> pair#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U71(X1, X2) -> U71#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# U91(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X1, proper# and(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# isNatural X -> isNatural# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isNatural X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isLNat X -> isLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isPLNat X -> isPLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# isPLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# tail X -> tail# proper X) (proper# U11(X1, X2, X3) -> proper# X1, proper# tail X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X1, proper# take(X1, X2) -> take#(proper X1, 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) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X1, proper# sel(X1, X2) -> sel#(proper X1, 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) -> proper# X2) (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# 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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U101(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# 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# 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# 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# 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# 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# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2) (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# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U61(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# 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) -> U82#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# 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X1, active# U11(X1, X2, X3) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U91(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U91(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U91(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# natsFrom N -> U41#(isNatural N, N)) (active# U91(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U91(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U91(X1, X2) -> active# X1, active# s X -> active# X) (active# U91(X1, X2) -> active# X1, active# s X -> s# active X) (active# U91(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# U91(X1, X2) -> active# X1, active# U41(tt(), N) -> natsFrom# s N) (active# U91(X1, X2) -> active# X1, active# U41(tt(), N) -> s# N) (active# U91(X1, X2) -> active# X1, active# head X -> active# X) (active# U91(X1, X2) -> active# X1, active# head X -> head# active X) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N)) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U91(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U91(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U91(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U91(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# U91(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# U91(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U91(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U91(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# U91(X1, X2) -> active# X1, active# U82(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# U91(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U91(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# U91(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U91(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# U91(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U91(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U91(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U91(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U91(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U91(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U91(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U91(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U91(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U91(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U91(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# U91(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U91(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# U91(X1, X2) -> active# X1, active# tail X -> active# X) (active# U91(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U91(X1, X2) -> active# X1, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# U91(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# U91(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U91(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U91(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U91(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U91(X1, X2) -> active# X1, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# U91(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# U91(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U91(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U91(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U91(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U91(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U91(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# U82(X1, X2) -> active# X1, active# fst X -> active# X) (active# U82(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# U82(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# U82(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U82(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# U82(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(X1, active X2)) (active# U82(X1, X2) -> active# X1, active# splitAt(X1, X2) -> splitAt#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U82(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (active# U82(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS))) (active# U82(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS)) (active# U82(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U82(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U82(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U82(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U71#(isLNat XS, XS)) (active# U82(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U82(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U82(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U82(X1, X2) -> active# X1, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U82(X1, X2) -> active# X1, active# U101(tt(), N, XS) -> splitAt#(N, XS)) (active# U82(X1, X2) -> active# X1, active# snd X -> active# X) (active# U82(X1, X2) -> active# X1, active# snd X -> snd# active X) (active# U82(X1, X2) -> active# X1, active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), Y)) (active# U82(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# U82(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U82(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U82(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (active# U82(X1, X2) -> active# X1, active# U11(X1, X2, X3) -> U11#(active X1, X2, X3)) (active# U82(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> splitAt#(N, XS)) (active# U82(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U82(X1, X2) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# cons(X1, X2) -> cons#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# natsFrom N -> U41#(isNatural N, N)) (active# U82(X1, X2) -> active# X1, active# natsFrom N -> isNatural# N) (active# U82(X1, X2) -> active# X1, active# natsFrom X -> active# X) (active# U82(X1, X2) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U82(X1, X2) -> active# X1, active# s X -> active# X) (active# U82(X1, X2) -> active# X1, active# s X -> s# active X) (active# U82(X1, X2) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# U82(X1, X2) -> active# X1, active# U41(tt(), N) -> natsFrom# s N) (active# U82(X1, X2) -> active# X1, active# U41(tt(), N) -> s# N) (active# U82(X1, X2) -> active# X1, active# head X -> active# X) (active# U82(X1, X2) -> active# X1, active# head X -> head# active X) (active# U82(X1, X2) -> active# X1, active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N)) (active# U82(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U82(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U82(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U82(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# U82(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# U82(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U82(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U82(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2) (active# U82(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(X1, active X2)) (active# U82(X1, X2) -> active# X1, active# afterNth(X1, X2) -> afterNth#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U82(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U82(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# U82(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# U82(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U82(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U82(X1, X2) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# U82(X1, X2) -> active# X1, active# U82(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# U82(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) 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U82(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# U82(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U82(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U82(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U82(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U82(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# U82(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U82(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U82(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U82(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# U82(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U82(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U82(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U82(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNat# V2) (active# U82(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U82(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U82(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# U82(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# U82(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U82(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# U82(X1, X2) -> active# X1, active# tail X -> active# X) (active# U82(X1, X2) -> active# X1, active# tail X -> tail# active X) (active# U82(X1, X2) -> active# X1, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# U82(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U82(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U82(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U82(X1, X2) -> active# X1, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# U82(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# U82(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U82(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U82(X1, X2) -> active# X1, active# take(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2) (active# U82(X1, X2) -> active# X1, active# take(X1, X2) -> take#(X1, active X2)) (active# U82(X1, X2) -> active# X1, active# take(X1, X2) -> take#(active X1, X2)) (active# U82(X1, X2) -> active# X1, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# U82(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# U82(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U82(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U82(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U82(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2) (active# U82(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(X1, active X2)) (active# U82(X1, X2) -> active# X1, active# sel(X1, X2) -> sel#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# pair(X1, X2) -> active# X1, active# fst X -> active# X) (active# pair(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# pair(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# pair(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# pair(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (active# pair(X1, X2) -> active# X1, active# splitAt(X1, X2) -> 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-> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (active# pair(X1, X2) -> active# X1, active# U101(tt(), N, XS) -> splitAt#(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) -> U61#(and(isLNat X, isLNat Y), Y)) (active# pair(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# pair(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# pair(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (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) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (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# 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# 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# natsFrom N -> U41#(isNatural N, N)) (active# pair(X1, X2) -> active# X1, active# natsFrom N -> isNatural# 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# U41(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# pair(X1, X2) -> active# X1, active# U41(tt(), N) -> natsFrom# s N) (active# pair(X1, X2) -> active# X1, active# U41(tt(), N) -> s# N) (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#(and(isNatural N, isLNat XS), N)) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# pair(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# 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# U51(X1, X2, X3) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# pair(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# pair(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# pair(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (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# 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) -> pair#(nil(), XS)) (active# pair(X1, X2) -> active# X1, active# U82(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# pair(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# pair(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# pair(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# pair(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# pair(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# pair(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# pair(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# pair(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# pair(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# pair(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# pair(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# pair(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# pair(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# pair(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# pair(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# pair(X1, X2) -> active# X1, active# 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U51(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U51(X1, X2, X3) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# U51(X1, X2, X3) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# U51(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X2) (active# U51(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(X1, active X2)) (active# U51(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> pair#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U51(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U51(X1, X2, X3) -> active# X1, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# 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(active# U31(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U31(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U31(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U31(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U31(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U31(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# U31(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U31(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U31(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U31(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U31(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# U31(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U31(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U31(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U31(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# U31(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U31(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U31(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U31(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNat# V2) (active# U31(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U31(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U31(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# U31(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# U31(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U31(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V2) (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) -> U91#(and(isNatural N, isLNat XS), XS)) (active# U31(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U31(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U31(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U31(X1, X2) -> active# X1, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# U31(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# U31(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U31(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# 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# U31(X1, X2) -> active# X1, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# U31(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# U31(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U31(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# 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# 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# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# U11(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# U11(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# U11(X1, X2, X3) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (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) -> splitAt#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS))) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS)) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> U71#(isLNat XS, XS)) (active# U11(X1, X2, X3) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U101(tt(), N, XS) -> splitAt#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# snd X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# snd X -> snd# active X) (active# U11(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), Y)) (active# U11(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# U11(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# U11(X1, X2, X3) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (active# U11(X1, X2, X3) -> active# X1, active# U11(X1, X2, X3) -> active# X1) (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(tt(), N, XS) -> splitAt#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> U21#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U31(X1, X2) -> U31#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# cons(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# natsFrom N -> U41#(isNatural N, N)) (active# U11(X1, X2, X3) -> active# X1, active# natsFrom N -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# natsFrom X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# natsFrom X -> natsFrom# active X) (active# U11(X1, X2, X3) -> active# X1, active# s X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# s X -> s# active X) (active# U11(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# U11(X1, X2, X3) -> active# X1, active# U41(tt(), N) -> natsFrom# s N) (active# U11(X1, X2, X3) -> active# X1, active# U41(tt(), N) -> s# N) (active# U11(X1, X2, X3) -> active# X1, active# head X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# head X -> head# active X) (active# U11(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> U31#(and(isNatural N, isLNat XS), N)) (active# U11(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U11(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# afterNth(X1, X2) -> active# 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) -> afterNth#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# U11(X1, X2, X3) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# pair(X1, X2) -> active# 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) -> pair#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U71(X1, X2) -> U71#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# U11(X1, X2, X3) -> active# X1, active# U82(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# U11(X1, X2, X3) -> active# X1, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# U11(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# U11(X1, X2, X3) -> active# X1, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# U11(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# and(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# U11(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U11(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U11(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U11(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U11(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# isLNat take(V1, V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# U11(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# U11(X1, X2, X3) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# U11(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# U11(X1, X2, X3) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# U11(X1, X2, X3) -> active# X1, active# tail X -> active# X) (active# U11(X1, X2, X3) -> active# X1, active# tail X -> tail# active X) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# take(N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# take(X1, X2) -> active# 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) -> take#(active X1, X2)) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# U11(X1, X2, X3) -> active# X1, active# sel(N, XS) -> isLNat# XS) (active# U11(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# X1) (active# U11(X1, X2, X3) -> active# X1, active# sel(X1, X2) -> active# 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) -> sel#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# fst X -> fst# active X) (active# splitAt(X1, X2) -> active# X1, active# fst X -> active# X) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# X) (active# splitAt(X1, X2) -> active# X1, active# fst pair(X, Y) -> isLNat# Y) (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(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS))) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# splitAt(X1, X2) -> active# X1, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# splitAt(0(), XS) -> U71#(isLNat XS, XS)) (active# splitAt(X1, X2) -> active# X1, active# splitAt(0(), XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U101(tt(), N, XS) -> splitAt#(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) -> U61#(and(isLNat X, isLNat Y), Y)) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# X) (active# splitAt(X1, X2) -> active# X1, active# snd pair(X, Y) -> isLNat# Y) (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) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (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# 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# 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# natsFrom N -> U41#(isNatural N, N)) (active# splitAt(X1, X2) -> active# X1, active# natsFrom N -> isNatural# 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# U41(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U41(X1, X2) -> U41#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# splitAt(X1, X2) -> active# X1, active# U41(tt(), N) -> natsFrom# s N) (active# splitAt(X1, X2) -> active# X1, active# U41(tt(), N) -> s# N) (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#(and(isNatural N, isLNat XS), N)) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# head cons(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# afterNth(N, XS) -> isLNat# 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# U51(X1, X2, X3) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# splitAt(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U61(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U61(X1, X2) -> U61#(active X1, X2)) (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# 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) -> pair#(nil(), XS)) (active# splitAt(X1, X2) -> active# X1, active# U82(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U82(X1, X2) -> U82#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# splitAt(X1, X2) -> active# X1, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# splitAt(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# splitAt(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# splitAt(X1, X2) -> active# X1, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# splitAt(X1, X2) -> active# X1, active# U91(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# U91(X1, X2) -> U91#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1) (active# splitAt(X1, X2) -> active# X1, active# and(X1, X2) -> and#(active X1, X2)) (active# splitAt(X1, X2) -> active# X1, active# isNatural s V1 -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural head V1 -> isLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isNatural sel(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# isLNat fst V1 -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat snd V1 -> isPLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat cons(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# isLNat natsFrom V1 -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# isLNat tail V1 -> isLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isLNat take(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# splitAt(X1, X2) -> active# X1, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# splitAt(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# splitAt(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# splitAt(X1, X2) -> active# X1, active# isPLNat pair(V1, V2) -> isLNat# V2) (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) -> U91#(and(isNatural N, isLNat XS), XS)) (active# splitAt(X1, X2) -> active# X1, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# splitAt(X1, X2) -> active# X1, active# tail cons(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# tail cons(N, XS) -> isLNat# XS) (active# splitAt(X1, X2) -> active# X1, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# splitAt(X1, X2) -> active# X1, active# take(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# take(N, XS) -> isLNat# 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# splitAt(X1, X2) -> active# X1, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# splitAt(X1, X2) -> active# X1, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# splitAt(X1, X2) -> active# X1, active# sel(N, XS) -> isNatural# N) (active# splitAt(X1, X2) -> active# X1, active# sel(N, XS) -> isLNat# 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)) (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# 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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U101(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# 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# 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# 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# 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# 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# U41(X1, X2) -> U41#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U41(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U41(X1, X2) -> proper# X2) (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# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (top# mark X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (top# mark X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (top# mark X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (top# mark X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U61(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U61(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# 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) -> U82#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U82(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U82(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (top# mark X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X1) (top# mark X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X2) (top# mark X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X3) (top# mark X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X4) (top# mark X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (top# mark X -> proper# X, proper# U91(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# U91(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (top# mark X -> proper# X, proper# and(X1, X2) -> proper# X1) (top# mark X -> proper# X, proper# and(X1, X2) -> proper# X2) (top# mark X -> proper# X, proper# isNatural X -> isNatural# proper X) (top# mark X -> proper# X, proper# isNatural X -> proper# X) (top# mark X -> proper# X, proper# isLNat X -> isLNat# proper X) (top# mark X -> proper# X, proper# isLNat X -> proper# X) (top# mark X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (top# mark X -> proper# X, proper# isPLNat X -> proper# X) (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) (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) (proper# isPLNat X -> proper# X, proper# fst X -> fst# proper X) (proper# isPLNat X -> proper# X, proper# fst X -> proper# X) (proper# isPLNat X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# snd X -> snd# proper X) (proper# isPLNat X -> proper# X, proper# snd X -> proper# X) (proper# isPLNat X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# isPLNat X -> proper# X, proper# natsFrom X -> proper# X) (proper# isPLNat X -> proper# X, proper# s X -> s# proper X) (proper# isPLNat X -> proper# X, proper# s X -> proper# X) (proper# isPLNat X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# head X -> head# proper X) (proper# isPLNat X -> proper# X, proper# head X -> proper# X) (proper# isPLNat X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# isPLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U82(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U82(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# isPLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# isPLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# isPLNat X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# isPLNat X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# isPLNat X -> proper# X, proper# isNatural X -> proper# X) (proper# isPLNat X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isPLNat X -> proper# X, proper# isLNat X -> proper# X) (proper# isPLNat X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# isPLNat X -> proper# X, proper# isPLNat X -> proper# X) (proper# isPLNat X -> proper# X, proper# tail X -> tail# proper X) (proper# isPLNat X -> proper# X, proper# tail X -> proper# X) (proper# isPLNat X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# isPLNat X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# isPLNat X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# isPLNat X -> proper# X, proper# sel(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# fst X -> fst# proper X) (proper# isNatural X -> proper# X, proper# fst X -> proper# X) (proper# isNatural X -> proper# X, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# splitAt(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# splitAt(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U101(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# snd X -> snd# proper X) (proper# isNatural X -> proper# X, proper# snd X -> proper# X) (proper# isNatural X -> proper# X, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U11(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U11(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U21(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U21(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U31(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U31(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# cons(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# cons(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# natsFrom X -> natsFrom# proper X) (proper# isNatural X -> proper# X, proper# natsFrom X -> proper# X) (proper# isNatural X -> proper# X, proper# s X -> s# proper X) (proper# isNatural X -> proper# X, proper# s X -> proper# X) (proper# isNatural X -> proper# X, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U41(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# head X -> head# proper X) (proper# isNatural X -> proper# X, proper# head X -> proper# X) (proper# isNatural X -> proper# X, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# afterNth(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# afterNth(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# isNatural X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# isNatural X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# isNatural X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# isNatural X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U61(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# pair(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# pair(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U71(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U71(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U82(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U82(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# isNatural X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# isNatural X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# isNatural X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# isNatural X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# isNatural X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# isNatural X -> proper# X, proper# isNatural X -> proper# X) (proper# isNatural X -> proper# X, proper# isLNat X -> isLNat# proper X) (proper# isNatural X -> proper# X, proper# isLNat X -> proper# X) (proper# isNatural X -> proper# X, proper# isPLNat X -> isPLNat# proper X) (proper# isNatural X -> proper# X, proper# isPLNat X -> proper# X) (proper# isNatural X -> proper# X, proper# tail X -> tail# proper X) (proper# isNatural X -> proper# X, proper# tail X -> proper# X) (proper# isNatural X -> proper# X, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# take(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# take(X1, X2) -> proper# X2) (proper# isNatural X -> proper# X, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# isNatural X -> proper# X, proper# sel(X1, X2) -> proper# X1) (proper# isNatural X -> proper# X, proper# sel(X1, X2) -> proper# X2) (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# 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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U101(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U101(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U101(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# 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# 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# 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# 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# 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# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U41(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U41(X1, X2) -> proper# X2) (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# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# s X -> proper# X, proper# U51(X1, X2, X3) -> proper# X1) (proper# s X -> proper# X, proper# U51(X1, X2, X3) -> proper# X2) (proper# s X -> proper# X, proper# U51(X1, X2, X3) -> proper# X3) (proper# s X -> proper# X, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U61(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U61(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# 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) -> U82#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U82(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U82(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# s X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# s X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# s X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# s X -> proper# X, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# s X -> proper# X, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# s X -> proper# X, proper# U91(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# U91(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# s X -> proper# X, proper# and(X1, X2) -> proper# X1) (proper# s X -> proper# X, proper# and(X1, X2) -> proper# X2) (proper# s X -> proper# X, proper# isNatural X -> isNatural# proper X) (proper# s X 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active# U82(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# U82(X1, X2) -> U82#(active X1, X2)) (active# natsFrom X -> active# X, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# natsFrom X -> active# X, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# natsFrom X -> active# X, active# U81(X1, X2, X3, X4) -> active# X1) (active# natsFrom X -> active# X, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# natsFrom X -> active# X, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# natsFrom X -> active# X, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# natsFrom X -> active# X, active# U91(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# U91(X1, X2) -> U91#(active X1, X2)) (active# natsFrom X -> active# X, active# and(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# and(X1, X2) -> and#(active X1, X2)) (active# natsFrom X -> active# X, active# isNatural s V1 -> isNatural# V1) (active# natsFrom X -> active# X, active# isNatural head V1 -> isLNat# V1) (active# natsFrom X -> active# X, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# natsFrom X -> active# X, active# isNatural sel(V1, V2) -> isNatural# V1) (active# natsFrom X -> active# X, active# isNatural sel(V1, V2) -> isLNat# V2) (active# natsFrom X -> active# X, active# isLNat fst V1 -> isPLNat# V1) (active# natsFrom X -> active# X, active# isLNat snd V1 -> isPLNat# V1) (active# natsFrom X -> active# X, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# natsFrom X -> active# X, active# isLNat cons(V1, V2) -> isNatural# V1) (active# natsFrom X -> active# X, active# isLNat cons(V1, V2) -> isLNat# V2) (active# natsFrom X -> active# X, active# isLNat natsFrom V1 -> isNatural# V1) (active# natsFrom X -> active# X, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# natsFrom X -> active# X, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# natsFrom X -> active# X, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# natsFrom X -> active# X, active# isLNat tail V1 -> isLNat# V1) (active# natsFrom X -> active# X, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# natsFrom X -> active# X, active# isLNat take(V1, V2) -> isNatural# V1) (active# natsFrom X -> active# X, active# isLNat take(V1, V2) -> isLNat# V2) (active# natsFrom X -> active# X, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# natsFrom X -> active# X, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# natsFrom X -> active# X, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# natsFrom X -> active# X, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# natsFrom X -> active# X, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# natsFrom X -> active# X, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# natsFrom X -> active# X, active# tail X -> active# X) (active# natsFrom X -> active# X, active# tail X -> tail# active X) (active# natsFrom X -> active# X, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# natsFrom X -> active# X, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# natsFrom X -> active# X, active# tail cons(N, XS) -> isNatural# N) (active# natsFrom X -> active# X, active# tail cons(N, XS) -> isLNat# XS) (active# natsFrom X -> active# X, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# natsFrom X -> active# X, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# natsFrom X -> active# X, active# take(N, XS) -> isNatural# N) (active# natsFrom X -> active# X, active# take(N, XS) -> isLNat# XS) (active# natsFrom X -> active# X, active# take(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# take(X1, X2) -> active# X2) (active# natsFrom X -> active# X, active# take(X1, X2) -> take#(X1, active X2)) (active# natsFrom X -> active# X, active# take(X1, X2) -> take#(active X1, X2)) (active# natsFrom X -> active# X, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# natsFrom X -> active# X, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# natsFrom X -> active# X, active# sel(N, XS) -> isNatural# N) (active# natsFrom X -> active# X, active# sel(N, XS) -> isLNat# XS) (active# natsFrom X -> active# X, active# sel(X1, X2) -> active# X1) (active# natsFrom X -> active# X, active# sel(X1, X2) -> active# X2) (active# natsFrom X -> active# X, active# sel(X1, X2) -> sel#(X1, active X2)) (active# natsFrom X -> active# X, active# sel(X1, X2) -> sel#(active X1, X2)) (active# snd X -> active# X, active# fst X -> fst# active X) (active# snd X -> active# X, active# fst X -> active# X) (active# snd X -> active# X, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# snd X -> active# X, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# snd X -> active# X, active# fst pair(X, Y) -> isLNat# X) (active# snd X -> active# X, active# fst pair(X, Y) -> isLNat# Y) (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(X1, X2) -> active# X1) (active# snd X -> active# X, active# splitAt(X1, X2) -> active# X2) (active# snd X -> active# X, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (active# snd X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural N, and(isNatural X, isLNat XS))) (active# snd X -> active# X, active# splitAt(s N, cons(X, XS)) -> and#(isNatural X, isLNat XS)) (active# snd X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# N) (active# snd X -> active# X, active# splitAt(s N, cons(X, XS)) -> isNatural# X) (active# snd X -> active# X, active# splitAt(s N, cons(X, XS)) -> isLNat# XS) (active# snd X -> active# X, active# splitAt(0(), XS) -> U71#(isLNat XS, XS)) (active# snd X -> active# X, active# splitAt(0(), XS) -> isLNat# XS) (active# snd X -> active# X, active# U101(X1, X2, X3) -> active# X1) (active# snd X -> active# X, active# U101(X1, X2, X3) -> U101#(active X1, X2, X3)) (active# snd X -> active# X, active# U101(tt(), N, XS) -> fst# splitAt(N, XS)) (active# snd X -> active# X, active# U101(tt(), N, XS) -> splitAt#(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) -> U61#(and(isLNat X, isLNat Y), Y)) (active# snd X -> active# X, active# snd pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# snd X -> active# X, active# snd pair(X, Y) -> isLNat# X) (active# snd X -> active# X, active# snd pair(X, Y) -> isLNat# Y) (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) -> splitAt#(N, XS)) (active# snd X -> active# X, active# U11(tt(), N, XS) -> snd# splitAt(N, XS)) (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# U31(X1, X2) -> active# X1) (active# snd X -> active# X, active# U31(X1, X2) -> U31#(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# natsFrom N -> U41#(isNatural N, N)) (active# snd X -> active# X, active# natsFrom N -> isNatural# 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# U41(X1, X2) -> active# X1) (active# snd X -> active# X, active# U41(X1, X2) -> U41#(active X1, X2)) (active# snd X -> active# X, active# U41(tt(), N) -> cons#(N, natsFrom s N)) (active# snd X -> active# X, active# U41(tt(), N) -> natsFrom# s N) (active# snd X -> active# X, active# U41(tt(), N) -> s# N) (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#(and(isNatural N, isLNat XS), N)) (active# snd X -> active# X, active# head cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# snd X -> active# X, active# head cons(N, XS) -> isNatural# N) (active# snd X -> active# X, active# head cons(N, XS) -> isLNat# XS) (active# snd X -> active# X, active# afterNth(N, XS) -> U11#(and(isNatural N, isLNat XS), N, XS)) (active# snd X -> active# X, active# afterNth(N, XS) -> and#(isNatural N, isLNat XS)) (active# snd X -> active# X, active# afterNth(N, XS) -> isNatural# N) (active# snd X -> active# X, active# afterNth(N, XS) -> isLNat# 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# U51(X1, X2, X3) -> active# X1) (active# snd X -> active# X, active# U51(X1, X2, X3) -> U51#(active X1, X2, X3)) (active# snd X -> active# X, active# U51(tt(), N, XS) -> head# afterNth(N, XS)) (active# snd X -> active# X, active# U51(tt(), N, XS) -> afterNth#(N, XS)) (active# snd X -> active# X, active# U61(X1, X2) -> active# X1) (active# snd X -> active# X, active# U61(X1, X2) -> U61#(active X1, X2)) (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 -> 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-> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U91(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U91(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U91(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U91(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U91(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U91(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U91(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U91(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U91(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U91(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U91(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U91(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U82(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U82(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U82(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U82(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U82(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U82(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U82(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U82(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U82(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U82(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U82(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U82(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U82(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U82(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U82(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U82(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U82(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U82(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U82(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U82(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U82(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U82(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U82(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U82(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U82(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U82(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# pair(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# pair(X1, X2) -> proper# X2, proper# snd X -> proper# X) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# pair(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# pair(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# pair(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# pair(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# pair(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# pair(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# pair(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# pair(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# pair(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# pair(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# pair(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# pair(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# pair(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# fst X -> fst# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# fst X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# snd X -> snd# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# snd X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# s X -> s# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# s X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# head X -> head# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# head X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# tail X -> tail# proper X) (proper# U51(X1, X2, X3) -> proper# X2, proper# tail X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U41(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U41(X1, X2) -> proper# X2, proper# snd X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U41(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U41(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U41(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U41(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U41(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U41(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U41(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U41(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U41(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U41(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U41(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U41(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U41(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U41(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U41(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# U31(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# U31(X1, X2) -> proper# X2, proper# snd X -> proper# X) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# U31(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# U31(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# U31(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# U31(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U31(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U31(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U31(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U31(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U31(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# U31(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# U31(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# U31(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U31(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# U31(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (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# 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# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U101(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# 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# 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# 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# 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# 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# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (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# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U61(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# 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) -> U82#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U11(X1, X2, X3) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U11(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U11(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# U11(X1, X2, X3) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# U11(X1, X2, X3) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isNatural X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isLNat X -> proper# X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# U11(X1, X2, X3) -> proper# X2, proper# isPLNat X -> proper# X) (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) (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# splitAt(X1, X2) -> proper# X2, proper# fst X -> fst# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# fst X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# splitAt(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# snd X -> snd# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# snd X -> proper# X) (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# U11(X1, X2, X3) -> proper# X1) (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# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U21(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# natsFrom X -> natsFrom# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# s X -> s# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# s X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U41(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# head X -> head# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# head X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# afterNth(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U61(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# splitAt(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# splitAt(X1, X2) -> proper# X2, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# U91(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# isNatural X -> isNatural# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isNatural X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# isLNat X -> isLNat# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isLNat X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# isPLNat X -> isPLNat# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# isPLNat X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# tail X -> tail# proper X) (proper# splitAt(X1, X2) -> proper# X2, proper# tail X -> proper# X) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# take(X1, X2) -> proper# X2) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1) (proper# splitAt(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X2) (active# take(X1, X2) -> active# X2, active# fst X -> fst# active X) (active# take(X1, X2) -> active# X2, active# fst X -> active# X) (active# take(X1, X2) -> active# X2, active# fst pair(X, Y) -> U21#(and(isLNat X, isLNat Y), X)) (active# take(X1, X2) -> active# X2, active# fst pair(X, Y) -> and#(isLNat X, isLNat Y)) (active# take(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# X) (active# take(X1, X2) -> active# X2, active# fst pair(X, Y) -> isLNat# Y) (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(X1, X2) -> active# X1) (active# take(X1, X2) -> active# X2, active# splitAt(X1, X2) -> active# X2) (active# take(X1, X2) -> active# X2, active# splitAt(s N, cons(X, XS)) -> U81#(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS)) (active# take(X1, 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-> isNatural# V1) (active# take(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isLNat# V2) (active# take(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> isNatural# V1) (active# take(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# take(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# take(X1, X2) -> active# X2, active# isLNat tail V1 -> isLNat# V1) (active# take(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# take(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isNatural# V1) (active# take(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isLNat# V2) (active# take(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# take(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# take(X1, 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afterNth(X1, X2) -> active# X2, active# U61(X1, X2) -> U61#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# pair(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# pair(X1, X2) -> active# 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) -> pair#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U71(X1, X2) -> U71#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U71(tt(), XS) -> pair#(nil(), XS)) (active# afterNth(X1, X2) -> active# X2, active# U82(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U82(X1, X2) -> U82#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# U82(pair(YS, ZS), X) -> cons#(X, YS)) (active# afterNth(X1, X2) -> active# X2, active# U82(pair(YS, ZS), X) -> pair#(cons(X, YS), ZS)) (active# afterNth(X1, X2) -> active# X2, active# U81(X1, X2, X3, X4) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U81(X1, X2, X3, X4) -> U81#(active X1, X2, X3, X4)) (active# afterNth(X1, X2) -> active# X2, active# U81(tt(), N, X, XS) -> splitAt#(N, XS)) (active# afterNth(X1, X2) -> active# X2, active# U81(tt(), N, X, XS) -> U82#(splitAt(N, XS), X)) (active# afterNth(X1, X2) -> active# X2, active# U91(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# U91(X1, X2) -> U91#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# and(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# and(X1, X2) -> and#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# isNatural s V1 -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# isNatural head V1 -> isLNat# V1) (active# afterNth(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# afterNth(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# isNatural sel(V1, V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X2, active# isLNat fst V1 -> isPLNat# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNat snd V1 -> isPLNat# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# afterNth(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNat cons(V1, V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X2, active# isLNat natsFrom V1 -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# afterNth(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNat afterNth(V1, V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X2, active# isLNat tail V1 -> isLNat# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# afterNth(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# isLNat take(V1, V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> and#(isNatural V1, isLNat V2)) (active# afterNth(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isNatural# V1) (active# afterNth(X1, X2) -> active# X2, active# isPLNat splitAt(V1, V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2)) (active# afterNth(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNat# V1) (active# afterNth(X1, X2) -> active# X2, active# isPLNat pair(V1, V2) -> isLNat# V2) (active# afterNth(X1, X2) -> active# X2, active# tail X -> active# X) (active# afterNth(X1, X2) -> active# X2, active# tail X -> tail# active X) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS)) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> and#(isNatural N, isLNat XS)) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X2, active# tail cons(N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> U101#(and(isNatural N, isLNat XS), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> and#(isNatural N, isLNat XS)) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X2, active# take(N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X2, active# take(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# take(X1, X2) -> active# 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) -> take#(active X1, X2)) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> U51#(and(isNatural N, isLNat XS), N, XS)) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> and#(isNatural N, isLNat XS)) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> isNatural# N) (active# afterNth(X1, X2) -> active# X2, active# sel(N, XS) -> isLNat# XS) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1) (active# afterNth(X1, X2) -> active# X2, active# sel(X1, X2) -> active# 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) -> sel#(active X1, X2)) (active# isPLNat pair(V1, V2) -> isLNat# V1, isLNat# ok X -> isLNat# X) (active# isLNat take(V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isLNat afterNth(V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isLNat cons(V1, V2) -> isNatural# V1, isNatural# ok X -> isNatural# X) (active# isLNat fst V1 -> isPLNat# V1, isPLNat# ok X -> isPLNat# X) (active# isNatural head V1 -> isLNat# V1, isLNat# ok X -> isLNat# X) (active# snd pair(X, Y) -> isLNat# Y, isLNat# ok X -> isLNat# X) (active# U41(tt(), N) -> cons#(N, natsFrom s N), cons#(mark X1, X2) -> cons#(X1, X2)) (active# U41(tt(), N) -> cons#(N, natsFrom s N), cons#(ok X1, ok X2) -> cons#(X1, X2)) (active# take(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# afterNth(N, XS) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# U41(tt(), N) -> s# N, s# mark X -> s# X) (active# U41(tt(), N) -> s# N, s# ok X -> s# X) (active# splitAt(s N, cons(X, XS)) -> isNatural# N, isNatural# ok X -> isNatural# X) (active# U81(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U81(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U81(tt(), N, X, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U11(tt(), N, XS) -> splitAt#(N, XS), splitAt#(X1, mark X2) -> splitAt#(X1, X2)) (active# U11(tt(), N, XS) -> splitAt#(N, XS), splitAt#(mark X1, X2) -> splitAt#(X1, X2)) (active# U11(tt(), N, XS) -> splitAt#(N, XS), splitAt#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS), U91#(mark X1, X2) -> U91#(X1, X2)) (active# tail cons(N, XS) -> U91#(and(isNatural N, isLNat XS), XS), U91#(ok X1, ok X2) -> U91#(X1, X2)) (active# U41(tt(), N) -> natsFrom# s N, natsFrom# mark X -> natsFrom# X) (active# U41(tt(), 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# isPLNat X -> isPLNat# proper X, isPLNat# ok X -> isPLNat# X) (proper# isNatural X -> isNatural# proper X, isNatural# ok X -> isNatural# X) (proper# s X -> s# proper X, s# mark X -> s# X) (proper# s X -> s# proper X, s# ok X -> s# X) (proper# snd X -> snd# proper X, snd# mark X -> snd# X) (proper# snd X -> snd# proper X, snd# ok X -> snd# X) (active# tail X -> tail# active X, tail# mark X -> tail# X) (active# tail X -> tail# active X, tail# ok X -> tail# X) (active# s X -> s# active X, s# mark X -> s# X) (active# s X -> s# active X, s# ok X -> s# X) (active# snd X -> snd# active X, snd# mark X -> snd# X) (active# snd X -> snd# active X, snd# ok X -> snd# X) (U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3)) (U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)) (U11#(ok X1, ok X2, ok 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), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)) (U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3)) (U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)) (active# U51(X1, X2, X3) -> U51#(active X1, X2, X3), U51#(mark X1, X2, X3) -> U51#(X1, X2, X3)) (active# U51(X1, X2, X3) -> U51#(active X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)) (active# U101(X1, X2, X3) -> U101#(active X1, X2, X3), U101#(mark X1, X2, X3) -> U101#(X1, X2, X3)) (active# U101(X1, X2, X3) -> U101#(active X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U82(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U82(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U51(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U51(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U51(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U51(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U51(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U51(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U51(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# fst X -> fst# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# fst X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> splitAt#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# splitAt(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> U101#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U101(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# snd X -> snd# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> U11#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U11(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> U21#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> U31#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U31(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> cons#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# cons(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# natsFrom X -> natsFrom# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# natsFrom X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# s X -> s# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# s X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> U41#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U41(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# head X -> head# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# head X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> afterNth#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# afterNth(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> U51#(proper X1, proper X2, proper X3)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U51(X1, X2, X3) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> U61#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> pair#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# pair(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> U71#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U71(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U82(X1, X2) -> U82#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U82(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U82(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X3) (proper# U101(X1, X2, X3) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X4) (proper# U101(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> U91#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# U91(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> and#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# and(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# isNatural X -> isNatural# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isNatural X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isLNat X -> isLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isPLNat X -> isPLNat# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# isPLNat X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# tail X -> tail# proper X) (proper# U101(X1, X2, X3) -> proper# X3, proper# tail X -> proper# X) (proper# U101(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> take#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# take(X1, X2) -> proper# X2) (proper# U101(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> sel#(proper X1, proper X2)) (proper# U101(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X1) (proper# U101(X1, X2, X3) -> proper# X3, proper# sel(X1, X2) -> proper# X2) (active# isPLNat splitAt(V1, V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# isLNat afterNth(V1, V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# isNatural sel(V1, V2) -> isLNat# V2, isLNat# ok X -> isLNat# X) (active# take(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# afterNth(N, XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (active# splitAt(0(), XS) -> isLNat# XS, isLNat# ok X -> isLNat# X) (proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4), U81#(mark X1, X2, X3, X4) -> U81#(X1, X2, X3, X4)) (proper# U81(X1, X2, X3, X4) -> U81#(proper X1, proper X2, proper X3, proper X4), U81#(ok X1, ok X2, ok X3, ok X4) -> U81#(X1, X2, X3, X4)) (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# U91(X1, X2) -> U91#(proper X1, proper X2), U91#(mark X1, X2) -> U91#(X1, X2)) (proper# U91(X1, X2) -> U91#(proper X1, proper X2), U91#(ok X1, ok X2) -> U91#(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# U61(X1, X2) -> U61#(proper X1, proper X2), U61#(mark X1, X2) -> U61#(X1, X2)) (proper# U61(X1, X2) -> U61#(proper X1, proper X2), U61#(ok X1, ok X2) -> U61#(X1, X2)) (proper# U41(X1, X2) -> U41#(proper X1, proper X2), U41#(mark X1, X2) -> U41#(X1, X2)) (proper# U41(X1, X2) -> U41#(proper X1, proper X2), U41#(ok X1, ok X2) -> U41#(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# 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(N, XS) -> and#(isNatural N, isLNat XS), and#(mark X1, X2) -> and#(X1, X2)) (active# sel(N, XS) -> and#(isNatural N, isLNat XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# take(N, XS) -> and#(isNatural N, isLNat XS), and#(mark X1, X2) -> and#(X1, X2)) (active# take(N, XS) -> and#(isNatural N, isLNat XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isPLNat pair(V1, V2) -> and#(isLNat V1, isLNat V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isLNat take(V1, V2) -> and#(isNatural V1, isLNat V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2), and#(mark X1, X2) -> and#(X1, X2)) (active# isLNat cons(V1, V2) -> and#(isNatural V1, isLNat V2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# pair(X1, X2) -> pair#(X1, active X2), pair#(X1, mark 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#(ok X1, ok X2) -> pair#(X1, X2)) (active# afterNth(N, XS) -> and#(isNatural N, isLNat XS), and#(mark X1, X2) -> and#(X1, X2)) (active# afterNth(N, XS) -> and#(isNatural N, isLNat XS), and#(ok X1, ok X2) -> and#(X1, X2)) (active# snd pair(X, Y) -> and#(isLNat X, isLNat Y), and#(mark X1, X2) -> and#(X1, X2)) (active# snd pair(X, Y) -> and#(isLNat X, isLNat Y), and#(ok X1, ok X2) -> and#(X1, X2)) (active# splitAt(X1, X2) -> splitAt#(X1, active X2), splitAt#(X1, mark 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#(ok X1, ok X2) -> splitAt#(X1, X2)) (active# U51(tt(), N, XS) -> head# afterNth(N, XS), head# mark X -> head# X) (active# U51(tt(), N, XS) -> head# afterNth(N, XS), head# ok X -> head# X) (active# U101(tt(), N, XS) -> fst# splitAt(N, XS), fst# mark X -> fst# X) (active# U101(tt(), N, XS) -> fst# splitAt(N, XS), fst# ok X -> fst# X) (sel#(mark X1, X2) -> sel#(X1, X2), sel#(X1, mark 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#(ok X1, ok X2) -> sel#(X1, X2)) (take#(ok X1, ok X2) -> take#(X1, X2), take#(X1, mark 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#(ok X1, ok X2) -> take#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(X1, mark X2) -> take#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2)) (take#(X1, mark X2) -> take#(X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)) (and#(mark X1, X2) -> and#(X1, X2), and#(mark X1, X2) -> and#(X1, X2)) (and#(mark X1, X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)) (U91#(mark X1, X2) -> U91#(X1, X2), U91#(mark X1, X2) -> U91#(X1, X2)) (U91#(mark X1, X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)) (U82#(mark X1, X2) -> U82#(X1, X2), U82#(mark X1, X2) -> U82#(X1, X2)) (U82#(mark X1, X2) -> U82#(X1, X2), U82#(ok X1, ok X2) -> U82#(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)) (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)) (U61#(ok X1, ok X2) -> U61#(X1, X2), U61#(mark X1, X2) -> U61#(X1, X2)) (U61#(ok X1, ok X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(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)) (U41#(mark X1, X2) -> U41#(X1, X2), U41#(mark X1, X2) -> U41#(X1, X2)) (U41#(mark X1, X2) -> U41#(X1, X2), U41#(ok X1, ok X2) -> U41#(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)) (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)) (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)) (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# sel(X1, X2) -> sel#(active X1, X2), sel#(X1, mark 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#(ok X1, ok X2) -> sel#(X1, X2)) (active# and(X1, X2) -> and#(active X1, X2), and#(mark X1, X2) -> and#(X1, X2)) (active# and(X1, X2) -> and#(active X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)) (active# U82(X1, X2) -> U82#(active X1, X2), U82#(mark X1, X2) -> U82#(X1, X2)) (active# U82(X1, X2) -> U82#(active X1, X2), U82#(ok X1, ok X2) -> U82#(X1, X2)) (active# pair(X1, X2) -> pair#(active X1, X2), pair#(X1, mark 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#(ok X1, ok X2) -> pair#(X1, X2)) (active# afterNth(X1, X2) -> afterNth#(active X1, X2), afterNth#(X1, mark 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#(ok X1, ok X2) -> afterNth#(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# 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# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), Y), U61#(mark X1, X2) -> U61#(X1, X2)) (active# snd pair(X, Y) -> U61#(and(isLNat X, isLNat Y), Y), U61#(ok X1, ok X2) -> U61#(X1, X2)) (active# natsFrom N -> U41#(isNatural N, N), U41#(mark X1, X2) -> U41#(X1, X2)) (active# natsFrom N -> U41#(isNatural N, N), U41#(ok X1, ok X2) -> U41#(X1, X2)) } STATUS: arrows: 0.886657 SCCS (30): Scc: {top# mark X -> top# proper X, top# ok X -> top# active X} Scc: { active# fst X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U101(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1, active# natsFrom X -> active# X, active# s X -> active# X, active# U41(X1, X2) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U51(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1, active# U82(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1, active# U91(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1, active# tail X -> active# X, active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2} Scc: { proper# fst X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X, proper# s X -> proper# X, proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2, proper# isNatural X -> proper# X, proper# isLNat X -> proper# X, proper# isPLNat X -> proper# X, proper# tail X -> proper# X, proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2} Scc: {tail# mark X -> tail# X, tail# ok X -> tail# X} Scc: {isPLNat# ok X -> isPLNat# X} Scc: {isNatural# ok X -> isNatural# X} Scc: { U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)} Scc: {s# mark X -> s# X, s# ok X -> s# X} Scc: {natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X} Scc: { U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)} Scc: { U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)} Scc: {isLNat# ok X -> isLNat# X} Scc: { U81#(mark X1, X2, X3, X4) -> U81#(X1, X2, X3, X4), U81#(ok X1, ok X2, ok X3, ok X4) -> U81#(X1, X2, X3, X4)} Scc: {head# mark X -> head# X, head# ok X -> head# X} Scc: {snd# mark X -> snd# X, snd# ok X -> snd# X} Scc: {fst# mark X -> fst# X, fst# ok X -> fst# 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: { take#(X1, mark X2) -> take#(X1, X2), take#(mark X1, X2) -> take#(X1, X2), take#(ok X1, ok X2) -> take#(X1, X2)} Scc: { and#(mark X1, X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)} Scc: { U91#(mark X1, X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)} Scc: { U82#(mark X1, X2) -> U82#(X1, X2), U82#(ok X1, ok X2) -> U82#(X1, X2)} Scc: { U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(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: { afterNth#(X1, mark X2) -> afterNth#(X1, X2), afterNth#(mark X1, X2) -> afterNth#(X1, X2), afterNth#(ok X1, ok X2) -> afterNth#(X1, X2)} Scc: { cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)} Scc: { U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(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: { U61#(mark X1, X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2)} Scc: { U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)} Scc: { U41#(mark X1, X2) -> U41#(X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2)} SCC (2): Strict: {top# mark X -> top# proper X, top# ok X -> top# active X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (29): Strict: { active# fst X -> active# X, active# splitAt(X1, X2) -> active# X1, active# splitAt(X1, X2) -> active# X2, active# U101(X1, X2, X3) -> active# X1, active# snd X -> active# X, active# U11(X1, X2, X3) -> active# X1, active# U21(X1, X2) -> active# X1, active# U31(X1, X2) -> active# X1, active# cons(X1, X2) -> active# X1, active# natsFrom X -> active# X, active# s X -> active# X, active# U41(X1, X2) -> active# X1, active# head X -> active# X, active# afterNth(X1, X2) -> active# X1, active# afterNth(X1, X2) -> active# X2, active# U51(X1, X2, X3) -> active# X1, active# U61(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X1, active# pair(X1, X2) -> active# X2, active# U71(X1, X2) -> active# X1, active# U82(X1, X2) -> active# X1, active# U81(X1, X2, X3, X4) -> active# X1, active# U91(X1, X2) -> active# X1, active# and(X1, X2) -> active# X1, active# tail X -> active# X, active# take(X1, X2) -> active# X1, active# take(X1, X2) -> active# X2, active# sel(X1, X2) -> active# X1, active# sel(X1, X2) -> active# X2} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (50): Strict: { proper# fst X -> proper# X, proper# splitAt(X1, X2) -> proper# X1, proper# splitAt(X1, X2) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X1, proper# U101(X1, X2, X3) -> proper# X2, proper# U101(X1, X2, X3) -> proper# X3, proper# snd X -> proper# X, proper# U11(X1, X2, X3) -> proper# X1, proper# U11(X1, X2, X3) -> proper# X2, proper# U11(X1, X2, X3) -> proper# X3, proper# U21(X1, X2) -> proper# X1, proper# U21(X1, X2) -> proper# X2, proper# U31(X1, X2) -> proper# X1, proper# U31(X1, X2) -> proper# X2, proper# cons(X1, X2) -> proper# X1, proper# cons(X1, X2) -> proper# X2, proper# natsFrom X -> proper# X, proper# s X -> proper# X, proper# U41(X1, X2) -> proper# X1, proper# U41(X1, X2) -> proper# X2, proper# head X -> proper# X, proper# afterNth(X1, X2) -> proper# X1, proper# afterNth(X1, X2) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X1, proper# U51(X1, X2, X3) -> proper# X2, proper# U51(X1, X2, X3) -> proper# X3, proper# U61(X1, X2) -> proper# X1, proper# U61(X1, X2) -> proper# X2, proper# pair(X1, X2) -> proper# X1, proper# pair(X1, X2) -> proper# X2, proper# U71(X1, X2) -> proper# X1, proper# U71(X1, X2) -> proper# X2, proper# U82(X1, X2) -> proper# X1, proper# U82(X1, X2) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X1, proper# U81(X1, X2, X3, X4) -> proper# X2, proper# U81(X1, X2, X3, X4) -> proper# X3, proper# U81(X1, X2, X3, X4) -> proper# X4, proper# U91(X1, X2) -> proper# X1, proper# U91(X1, X2) -> proper# X2, proper# and(X1, X2) -> proper# X1, proper# and(X1, X2) -> proper# X2, proper# isNatural X -> proper# X, proper# isLNat X -> proper# X, proper# isPLNat X -> proper# X, proper# tail X -> proper# X, proper# take(X1, X2) -> proper# X1, proper# take(X1, X2) -> proper# X2, proper# sel(X1, X2) -> proper# X1, proper# sel(X1, X2) -> proper# X2} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: {tail# mark X -> tail# X, tail# ok X -> tail# X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (1): Strict: {isPLNat# ok X -> isPLNat# X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (1): Strict: {isNatural# ok X -> isNatural# X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U51#(mark X1, X2, X3) -> U51#(X1, X2, X3), U51#(ok X1, ok X2, ok X3) -> U51#(X1, X2, X3)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: {s# mark X -> s# X, s# ok X -> s# X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: {natsFrom# mark X -> natsFrom# X, natsFrom# ok X -> natsFrom# X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U11#(mark X1, X2, X3) -> U11#(X1, X2, X3), U11#(ok X1, ok X2, ok X3) -> U11#(X1, X2, X3)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U101#(mark X1, X2, X3) -> U101#(X1, X2, X3), U101#(ok X1, ok X2, ok X3) -> U101#(X1, X2, X3)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (1): Strict: {isLNat# ok X -> isLNat# X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U81#(mark X1, X2, X3, X4) -> U81#(X1, X2, X3, X4), U81#(ok X1, ok X2, ok X3, ok X4) -> U81#(X1, X2, X3, X4)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: {head# mark X -> head# X, head# ok X -> head# X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: {snd# mark X -> snd# X, snd# ok X -> snd# X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: {fst# mark X -> fst# X, fst# ok X -> fst# X} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open 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: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open 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: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { and#(mark X1, X2) -> and#(X1, X2), and#(ok X1, ok X2) -> and#(X1, X2)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U91#(mark X1, X2) -> U91#(X1, X2), U91#(ok X1, ok X2) -> U91#(X1, X2)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U82#(mark X1, X2) -> U82#(X1, X2), U82#(ok X1, ok X2) -> U82#(X1, X2)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U71#(mark X1, X2) -> U71#(X1, X2), U71#(ok X1, ok X2) -> U71#(X1, X2)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open 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: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open 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: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { cons#(mark X1, X2) -> cons#(X1, X2), cons#(ok X1, ok X2) -> cons#(X1, X2)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U21#(mark X1, X2) -> U21#(X1, X2), U21#(ok X1, ok X2) -> U21#(X1, X2)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open 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: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U61#(mark X1, X2) -> U61#(X1, X2), U61#(ok X1, ok X2) -> U61#(X1, X2)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U31#(mark X1, X2) -> U31#(X1, X2), U31#(ok X1, ok X2) -> U31#(X1, X2)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open SCC (2): Strict: { U41#(mark X1, X2) -> U41#(X1, X2), U41#(ok X1, ok X2) -> U41#(X1, X2)} Weak: { fst mark X -> mark fst X, fst ok X -> ok fst 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), active fst X -> fst active X, active fst pair(X, Y) -> mark U21(and(isLNat X, isLNat Y), X), active splitAt(X1, X2) -> splitAt(X1, active X2), active splitAt(X1, X2) -> splitAt(active X1, X2), active splitAt(s N, cons(X, XS)) -> mark U81(and(isNatural N, and(isNatural X, isLNat XS)), N, X, XS), active splitAt(0(), XS) -> mark U71(isLNat XS, XS), active U101(X1, X2, X3) -> U101(active X1, X2, X3), active U101(tt(), N, XS) -> mark fst splitAt(N, XS), active snd X -> snd active X, active snd pair(X, Y) -> mark U61(and(isLNat X, isLNat Y), Y), active U11(X1, X2, X3) -> U11(active X1, X2, X3), active U11(tt(), N, XS) -> mark snd splitAt(N, XS), active U21(X1, X2) -> U21(active X1, X2), active U21(tt(), X) -> mark X, active U31(X1, X2) -> U31(active X1, X2), active U31(tt(), N) -> mark N, active cons(X1, X2) -> cons(active X1, X2), active natsFrom N -> mark U41(isNatural N, N), active natsFrom X -> natsFrom active X, active s X -> s active X, active U41(X1, X2) -> U41(active X1, X2), active U41(tt(), N) -> mark cons(N, natsFrom s N), active head X -> head active X, active head cons(N, XS) -> mark U31(and(isNatural N, isLNat XS), N), active afterNth(N, XS) -> mark U11(and(isNatural N, isLNat XS), N, XS), active afterNth(X1, X2) -> afterNth(X1, active X2), active afterNth(X1, X2) -> afterNth(active X1, X2), active U51(X1, X2, X3) -> U51(active X1, X2, X3), active U51(tt(), N, XS) -> mark head afterNth(N, XS), active U61(X1, X2) -> U61(active X1, X2), active U61(tt(), Y) -> mark Y, active pair(X1, X2) -> pair(X1, active X2), active pair(X1, X2) -> pair(active X1, X2), active U71(X1, X2) -> U71(active X1, X2), active U71(tt(), XS) -> mark pair(nil(), XS), active U82(X1, X2) -> U82(active X1, X2), active U82(pair(YS, ZS), X) -> mark pair(cons(X, YS), ZS), active U81(X1, X2, X3, X4) -> U81(active X1, X2, X3, X4), active U81(tt(), N, X, XS) -> mark U82(splitAt(N, XS), X), active U91(X1, X2) -> U91(active X1, X2), active U91(tt(), XS) -> mark XS, active and(X1, X2) -> and(active X1, X2), active and(tt(), X) -> mark X, active isNatural s V1 -> mark isNatural V1, active isNatural head V1 -> mark isLNat V1, active isNatural 0() -> mark tt(), active isNatural sel(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat fst V1 -> mark isPLNat V1, active isLNat snd V1 -> mark isPLNat V1, active isLNat cons(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat natsFrom V1 -> mark isNatural V1, active isLNat afterNth(V1, V2) -> mark and(isNatural V1, isLNat V2), active isLNat nil() -> mark tt(), active isLNat tail V1 -> mark isLNat V1, active isLNat take(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat splitAt(V1, V2) -> mark and(isNatural V1, isLNat V2), active isPLNat pair(V1, V2) -> mark and(isLNat V1, isLNat V2), active tail X -> tail active X, active tail cons(N, XS) -> mark U91(and(isNatural N, isLNat XS), XS), active take(N, XS) -> mark U101(and(isNatural N, isLNat XS), N, XS), active take(X1, X2) -> take(X1, active X2), active take(X1, X2) -> take(active X1, X2), active sel(N, XS) -> mark U51(and(isNatural N, isLNat XS), N, XS), active sel(X1, X2) -> sel(X1, active X2), active sel(X1, X2) -> sel(active X1, X2), U101(mark X1, X2, X3) -> mark U101(X1, X2, X3), U101(ok X1, ok X2, ok X3) -> ok U101(X1, X2, X3), snd mark X -> mark snd X, snd ok X -> ok snd X, U11(mark X1, X2, X3) -> mark U11(X1, X2, X3), U11(ok X1, ok X2, ok X3) -> ok U11(X1, X2, X3), U21(mark X1, X2) -> mark U21(X1, X2), U21(ok X1, ok X2) -> ok U21(X1, X2), U31(mark X1, X2) -> mark U31(X1, X2), U31(ok X1, ok X2) -> ok U31(X1, X2), cons(mark X1, X2) -> mark cons(X1, X2), cons(ok X1, ok X2) -> ok cons(X1, X2), natsFrom mark X -> mark natsFrom X, natsFrom ok X -> ok natsFrom X, s mark X -> mark s X, s ok X -> ok s X, U41(mark X1, X2) -> mark U41(X1, X2), U41(ok X1, ok X2) -> ok U41(X1, X2), 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), U51(mark X1, X2, X3) -> mark U51(X1, X2, X3), U51(ok X1, ok X2, ok X3) -> ok U51(X1, X2, X3), U61(mark X1, X2) -> mark U61(X1, X2), U61(ok X1, ok X2) -> ok U61(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), U71(mark X1, X2) -> mark U71(X1, X2), U71(ok X1, ok X2) -> ok U71(X1, X2), U82(mark X1, X2) -> mark U82(X1, X2), U82(ok X1, ok X2) -> ok U82(X1, X2), U81(mark X1, X2, X3, X4) -> mark U81(X1, X2, X3, X4), U81(ok X1, ok X2, ok X3, ok X4) -> ok U81(X1, X2, X3, X4), U91(mark X1, X2) -> mark U91(X1, X2), U91(ok X1, ok X2) -> ok U91(X1, X2), and(mark X1, X2) -> mark and(X1, X2), and(ok X1, ok X2) -> ok and(X1, X2), isNatural ok X -> ok isNatural X, isLNat ok X -> ok isLNat X, isPLNat ok X -> ok isPLNat X, 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), 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), proper fst X -> fst proper X, proper splitAt(X1, X2) -> splitAt(proper X1, proper X2), proper U101(X1, X2, X3) -> U101(proper X1, proper X2, proper X3), proper tt() -> ok tt(), proper snd X -> snd proper X, proper U11(X1, X2, X3) -> U11(proper X1, proper X2, proper X3), proper U21(X1, X2) -> U21(proper X1, proper X2), proper U31(X1, X2) -> U31(proper X1, proper X2), proper cons(X1, X2) -> cons(proper X1, proper X2), proper natsFrom X -> natsFrom proper X, proper s X -> s proper X, proper U41(X1, X2) -> U41(proper X1, proper X2), proper head X -> head proper X, proper afterNth(X1, X2) -> afterNth(proper X1, proper X2), proper U51(X1, X2, X3) -> U51(proper X1, proper X2, proper X3), proper U61(X1, X2) -> U61(proper X1, proper X2), proper pair(X1, X2) -> pair(proper X1, proper X2), proper nil() -> ok nil(), proper U71(X1, X2) -> U71(proper X1, proper X2), proper U82(X1, X2) -> U82(proper X1, proper X2), proper U81(X1, X2, X3, X4) -> U81(proper X1, proper X2, proper X3, proper X4), proper U91(X1, X2) -> U91(proper X1, proper X2), proper and(X1, X2) -> and(proper X1, proper X2), proper isNatural X -> isNatural proper X, proper isLNat X -> isLNat proper X, proper isPLNat X -> isPLNat proper X, proper tail X -> tail proper X, proper take(X1, X2) -> take(proper X1, proper X2), proper 0() -> ok 0(), proper sel(X1, X2) -> sel(proper X1, proper X2), top mark X -> top proper X, top ok X -> top active X} Open